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Finding the Fourth Proportional to 138,691.70, 208,043.49 and 54,470.12

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Solution

The fourth proportional to 138,691.70, 208,043.49 and 54,470.12 is: 81,707.51

Step by Step Solution

  1. Step 1: Write the proportion equation
    138,691.70 : 208,043.49 = 54,470.12 : x
  2. Step 2: Convert to fraction form
    138,691.70/208,043.49 = 54,470.12/x
  3. Step 3: Cross multiply
    138,691.70x = 208,043.49 × 54,470.12
  4. Step 4: Simplify right side
    138,691.70x = 11,332,154,113.28
  5. Step 5: Solve for x
    x = 11,332,154,113.28/138,691.70
  6. Step 6: Final answer
    x = 81,707.51

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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.