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Finding the Fourth Proportional to 71,824.80, 107,737.20 and 27,428.70

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Solution

The fourth proportional to 71,824.80, 107,737.20 and 27,428.70 is: 41,143.05

Step by Step Solution

  1. Step 1: Write the proportion equation
    71,824.80 : 107,737.20 = 27,428.70 : x
  2. Step 2: Convert to fraction form
    71,824.80/107,737.20 = 27,428.70/x
  3. Step 3: Cross multiply
    71,824.80x = 107,737.20 × 27,428.70
  4. Step 4: Simplify right side
    71,824.80x = 2,955,091,337.64
  5. Step 5: Solve for x
    x = 2,955,091,337.64/71,824.80
  6. Step 6: Final answer
    x = 41,143.05

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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.