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Finding the Fourth Proportional to 138,045.32, 207,330.40 and 85,819.76

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Solution

The fourth proportional to 138,045.32, 207,330.40 and 85,819.76 is: 128,892.78

Step by Step Solution

  1. Step 1: Write the proportion equation
    138,045.32 : 207,330.40 = 85,819.76 : x
  2. Step 2: Convert to fraction form
    138,045.32/207,330.40 = 85,819.76/x
  3. Step 3: Cross multiply
    138,045.32x = 207,330.40 × 85,819.76
  4. Step 4: Simplify right side
    138,045.32x = 17,793,045,168.70
  5. Step 5: Solve for x
    x = 17,793,045,168.70/138,045.32
  6. Step 6: Final answer
    x = 128,892.78

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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.