I have a late model Shovel FX which has a 130 rear tire. Would a 140 or 150 fit without problems?

 

Late model FX shovel? Anyway I would stick with the stock size tires. The clearances are usually pretty tight and you run a risk of grooving the new rubber.

 

I have a 140 on my 72 round swingarm, and a 140 on my 84 square SA. And I think a 150 would fit. See if a shop has a used one you could try.