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Finding the Fourth Proportional to 138,605.64, 207,930.90 and 54,320.11

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Solution

The fourth proportional to 138,605.64, 207,930.90 and 54,320.11 is: 81,488.96

Step by Step Solution

  1. Step 1: Write the proportion equation
    138,605.64 : 207,930.90 = 54,320.11 : x
  2. Step 2: Convert to fraction form
    138,605.64/207,930.90 = 54,320.11/x
  3. Step 3: Cross multiply
    138,605.64x = 207,930.90 × 54,320.11
  4. Step 4: Simplify right side
    138,605.64x = 11,294,829,044.27
  5. Step 5: Solve for x
    x = 11,294,829,044.27/138,605.64
  6. Step 6: Final answer
    x = 81,488.96

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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.