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Finding the Fourth Proportional to 138,753.28, 208,121.28 and 85,455.40

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Solution

The fourth proportional to 138,753.28, 208,121.28 and 85,455.40 is: 128,177.78

Step by Step Solution

  1. Step 1: Write the proportion equation
    138,753.28 : 208,121.28 = 85,455.40 : x
  2. Step 2: Convert to fraction form
    138,753.28/208,121.28 = 85,455.40/x
  3. Step 3: Cross multiply
    138,753.28x = 208,121.28 × 85,455.40
  4. Step 4: Simplify right side
    138,753.28x = 17,785,087,230.91
  5. Step 5: Solve for x
    x = 17,785,087,230.91/138,753.28
  6. Step 6: Final answer
    x = 128,177.78

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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.