You can use zoom on projectors to adjust size, but there are very few projectors that allow you to go that small from that distance. A few, yes, but not many. Most require you to be about 1.2x screen width away - give or take. Some, like the Panasonic AE-700 give you greater range, but I don't believe even as much as you want. 144 icnhes away from a 60 inch wide screen is gonna cost more very likely and require a pricey long throw projector or one with interchangable lenses.
Business has a bunch of interchangable stuff in the $10K range. Home theater just doesn't have a lot of stuff but some adapters are available for a few grand.