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Finding the Fourth Proportional to 137,711.38, 206,569.32 and 47,756.92

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Solution

The fourth proportional to 137,711.38, 206,569.32 and 47,756.92 is: 71,636.16

Step by Step Solution

  1. Step 1: Write the proportion equation
    137,711.38 : 206,569.32 = 47,756.92 : x
  2. Step 2: Convert to fraction form
    137,711.38/206,569.32 = 47,756.92/x
  3. Step 3: Cross multiply
    137,711.38x = 206,569.32 × 47,756.92
  4. Step 4: Simplify right side
    137,711.38x = 9,865,114,489.69
  5. Step 5: Solve for x
    x = 9,865,114,489.69/137,711.38
  6. Step 6: Final answer
    x = 71,636.16

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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.