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Finding the Fourth Proportional to 149,793.28, 206,704.32 and 82,720

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Solution

The fourth proportional to 149,793.28, 206,704.32 and 82,720 is: 114,147.85

Step by Step Solution

  1. Step 1: Write the proportion equation
    149,793.28 : 206,704.32 = 82,720 : x
  2. Step 2: Convert to fraction form
    149,793.28/206,704.32 = 82,720/x
  3. Step 3: Cross multiply
    149,793.28x = 206,704.32 × 82,720
  4. Step 4: Simplify right side
    149,793.28x = 17,098,581,350.40
  5. Step 5: Solve for x
    x = 17,098,581,350.40/149,793.28
  6. Step 6: Final answer
    x = 114,147.85

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.