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Finding the Fourth Proportional to 71,155.80, 106,717.98 and 20,543.83

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Solution

The fourth proportional to 71,155.80, 106,717.98 and 20,543.83 is: 30,811.21

Step by Step Solution

  1. Step 1: Write the proportion equation
    71,155.80 : 106,717.98 = 20,543.83 : x
  2. Step 2: Convert to fraction form
    71,155.80/106,717.98 = 20,543.83/x
  3. Step 3: Cross multiply
    71,155.80x = 106,717.98 × 20,543.83
  4. Step 4: Simplify right side
    71,155.80x = 2,192,396,039.06
  5. Step 5: Solve for x
    x = 2,192,396,039.06/71,155.80
  6. Step 6: Final answer
    x = 30,811.21

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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.