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Finding the Fourth Proportional to 138,327.20, 207,490.80 and 85,839.20

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Solution

The fourth proportional to 138,327.20, 207,490.80 and 85,839.20 is: 128,758.80

Step by Step Solution

  1. Step 1: Write the proportion equation
    138,327.20 : 207,490.80 = 85,839.20 : x
  2. Step 2: Convert to fraction form
    138,327.20/207,490.80 = 85,839.20/x
  3. Step 3: Cross multiply
    138,327.20x = 207,490.80 × 85,839.20
  4. Step 4: Simplify right side
    138,327.20x = 17,810,844,279.36
  5. Step 5: Solve for x
    x = 17,810,844,279.36/138,327.20
  6. Step 6: Final answer
    x = 128,758.80

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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.