Finding the Fourth Proportional to 109,976.08, 164,976.42 and 31,096.46

Step by Step Solution

1. Step 1: Write the proportion equation
   109,976.08 : 164,976.42 = 31,096.46 : x
2. Step 2: Convert to fraction form
   109,976.08/164,976.42 = 31,096.46/x
3. Step 3: Cross multiply
   109,976.08x = 164,976.42 × 31,096.46
4. Step 4: Simplify right side
   109,976.08x = 5,130,182,645.47
5. Step 5: Solve for x
   x = 5,130,182,645.47/109,976.08
6. Step 6: Final answer
   x = 46,648.17