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Finding the Fourth Proportional to 138,409.43, 207,540.32 and 71,684.06

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Solution

The fourth proportional to 138,409.43, 207,540.32 and 71,684.06 is: 107,487.85

Step by Step Solution

  1. Step 1: Write the proportion equation
    138,409.43 : 207,540.32 = 71,684.06 : x
  2. Step 2: Convert to fraction form
    138,409.43/207,540.32 = 71,684.06/x
  3. Step 3: Cross multiply
    138,409.43x = 207,540.32 × 71,684.06
  4. Step 4: Simplify right side
    138,409.43x = 14,877,331,355.18
  5. Step 5: Solve for x
    x = 14,877,331,355.18/138,409.43
  6. Step 6: Final answer
    x = 107,487.85

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.