not to contradict anything that has been said about the rear fork(swing arm). I just wanted to add, the exception to previous statements about swing arms is the 07 and 08 SE Road King, The SE RK rear fork has a specific part number and is 1/2 inch wider than the normal 02 to 08 swing arm. It also has a specific rear axle that is unique to the 07 & 08 SE RK. Along with a specific rear fender and rear grab rail and tail light.
The SE RK rear swing arm, accommodates a 170/60/17 tire on a 17 X 4.5 rim and is available in RED, Blue or Black. They also cost approx $700.
IF the OP is looking to add a wider tire and wants to do a bit of part swaping, the SE RK rear fender, grab rail, rear swing arm and wheel will fit on an 02 through 08 frame with ZERO modifications. It is a direct bolt on.
I know this as i converted my 04 rear setup to the 07 SE RK and currently run a 170 tire on a 17 X 4.5 rim with the 04 1 1/2 belt with ZERO issues.
FYI only.