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Finding the Fourth Proportional to 148,757.92, 205,285.92 and 80,774.56

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Solution

The fourth proportional to 148,757.92, 205,285.92 and 80,774.56 is: 111,468.89

Step by Step Solution

  1. Step 1: Write the proportion equation
    148,757.92 : 205,285.92 = 80,774.56 : x
  2. Step 2: Convert to fraction form
    148,757.92/205,285.92 = 80,774.56/x
  3. Step 3: Cross multiply
    148,757.92x = 205,285.92 × 80,774.56
  4. Step 4: Simplify right side
    148,757.92x = 16,581,879,862.20
  5. Step 5: Solve for x
    x = 16,581,879,862.20/148,757.92
  6. Step 6: Final answer
    x = 111,468.89

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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.