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Finding the Fourth Proportional to 137,434.60, 206,151.90 and 82,138.60

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Solution

The fourth proportional to 137,434.60, 206,151.90 and 82,138.60 is: 123,207.90

Step by Step Solution

  1. Step 1: Write the proportion equation
    137,434.60 : 206,151.90 = 82,138.60 : x
  2. Step 2: Convert to fraction form
    137,434.60/206,151.90 = 82,138.60/x
  3. Step 3: Cross multiply
    137,434.60x = 206,151.90 × 82,138.60
  4. Step 4: Simplify right side
    137,434.60x = 16,933,028,453.34
  5. Step 5: Solve for x
    x = 16,933,028,453.34/137,434.60
  6. Step 6: Final answer
    x = 123,207.90

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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.