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Finding the Fourth Proportional to 71,245.28, 106,965.12 and 36,209.72

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Solution

The fourth proportional to 71,245.28, 106,965.12 and 36,209.72 is: 54,363.98

Step by Step Solution

  1. Step 1: Write the proportion equation
    71,245.28 : 106,965.12 = 36,209.72 : x
  2. Step 2: Convert to fraction form
    71,245.28/106,965.12 = 36,209.72/x
  3. Step 3: Cross multiply
    71,245.28x = 106,965.12 × 36,209.72
  4. Step 4: Simplify right side
    71,245.28x = 3,873,177,044.97
  5. Step 5: Solve for x
    x = 3,873,177,044.97/71,245.28
  6. Step 6: Final answer
    x = 54,363.98

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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.