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Finding the Fourth Proportional to 138,327.40, 207,491.10 and 123,455.80

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Solution

The fourth proportional to 138,327.40, 207,491.10 and 123,455.80 is: 185,183.70

Step by Step Solution

  1. Step 1: Write the proportion equation
    138,327.40 : 207,491.10 = 123,455.80 : x
  2. Step 2: Convert to fraction form
    138,327.40/207,491.10 = 123,455.80/x
  3. Step 3: Cross multiply
    138,327.40x = 207,491.10 × 123,455.80
  4. Step 4: Simplify right side
    138,327.40x = 25,615,979,743.38
  5. Step 5: Solve for x
    x = 25,615,979,743.38/138,327.40
  6. Step 6: Final answer
    x = 185,183.70

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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.