“On the back of the receiver, it says "190w max".” More than likely, this is referring to maximum amount of current draw that the receiver will pull from the electrical socket in the wall. This would sound about right considering the output capabilities of the amp.
“On the front, there's a power meter that has two sides, left and right, and goes from 1 to 50. I assumed this meant the receiver supported up to 100w, total?” I’m not sure what you mean by “supported”, but the meters are showing you how much power the amplifier is sending to each channel to drive the speakers.
“The two speakers I have connected are 40w each.” This is a power capacity rating. It doesn’t mean they draw 40 watts.
“I'm assuming I would need an amp to be able to run all 4 speakers?” No. Your current receiver will work just fine. What you will notice however is that one pair of speakers will play louder than the other pair because they’re not identical speakers. There’s also a good chance that you’ll notice a Timber mismatch – meaning that the two pairs will sound differently.
CAUTION: It’s very important that you find out the impedance rating (ohms) for each speaker before hooking up the extra pair. If each speaker doesn’t have at least 8 ohms of resistance, you will dramatically shorten the life of your receiver because the amplifier in that particular model isn’t built to handle low-ohm loads. It's ok to drive one pair of speakers with less than 8 ohms. If you're driving 2 pair, each speaker must have at least 8 ohms of resistance.