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Finding the Fourth Proportional to 71,807.80, 107,711.70 and 27,411.70

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Solution

The fourth proportional to 71,807.80, 107,711.70 and 27,411.70 is: 41,117.55

Step by Step Solution

  1. Step 1: Write the proportion equation
    71,807.80 : 107,711.70 = 27,411.70 : x
  2. Step 2: Convert to fraction form
    71,807.80/107,711.70 = 27,411.70/x
  3. Step 3: Cross multiply
    71,807.80x = 107,711.70 × 27,411.70
  4. Step 4: Simplify right side
    71,807.80x = 2,952,560,806.89
  5. Step 5: Solve for x
    x = 2,952,560,806.89/71,807.80
  6. Step 6: Final answer
    x = 41,117.55

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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.