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Finding the Fourth Proportional to 165,149.91, 247,687.56 and 76,354.92

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Solution

The fourth proportional to 165,149.91, 247,687.56 and 76,354.92 is: 114,515.13

Step by Step Solution

  1. Step 1: Write the proportion equation
    165,149.91 : 247,687.56 = 76,354.92 : x
  2. Step 2: Convert to fraction form
    165,149.91/247,687.56 = 76,354.92/x
  3. Step 3: Cross multiply
    165,149.91x = 247,687.56 × 76,354.92
  4. Step 4: Simplify right side
    165,149.91x = 18,912,163,828.80
  5. Step 5: Solve for x
    x = 18,912,163,828.80/165,149.91
  6. Step 6: Final answer
    x = 114,515.13

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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.