Finding the Fourth Proportional to 105,725, 158,587.50 and 31,853

Step by Step Solution

1. Step 1: Write the proportion equation
   105,725 : 158,587.50 = 31,853 : x
2. Step 2: Convert to fraction form
   105,725/158,587.50 = 31,853/x
3. Step 3: Cross multiply
   105,725x = 158,587.50 × 31,853
4. Step 4: Simplify right side
   105,725x = 5,051,487,637.50
5. Step 5: Solve for x
   x = 5,051,487,637.50/105,725
6. Step 6: Final answer
   x = 47,779.50