I doubt that you have a problem if the room was built to code. You’d be amazed at how much load non-ground floors can take. From the “Internet” (which one can always trust!)…
Building Codes and Limits
Local building codes specify the minimum live load that floors must be able to bear. The International Residential Code, on which most local building codes are based, requires that floors in non-sleeping rooms must support a minimum live load of 40 pounds per square foot, and floors in sleeping rooms must be able to handle a live load of 30 pounds per square foot.
If, for example, the room is 10’ x 20’ by code the floor (without termite damage) should support a minimum of 6,000 to 8,000 pounds of people (i.e., “live load”) without much deflection—or failure. The load that would cause structural failure is typically much higher. (Value this advice according to what you paid for it!)