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Finding the Fourth Proportional to 138,142.82, 206,939.88 and 106,442.90

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Solution

The fourth proportional to 138,142.82, 206,939.88 and 106,442.90 is: 159,452.96

Step by Step Solution

  1. Step 1: Write the proportion equation
    138,142.82 : 206,939.88 = 106,442.90 : x
  2. Step 2: Convert to fraction form
    138,142.82/206,939.88 = 106,442.90/x
  3. Step 3: Cross multiply
    138,142.82x = 206,939.88 × 106,442.90
  4. Step 4: Simplify right side
    138,142.82x = 22,027,280,952.85
  5. Step 5: Solve for x
    x = 22,027,280,952.85/138,142.82
  6. Step 6: Final answer
    x = 159,452.96

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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.