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Finding the Fourth Proportional to 83,140.62, 124,711.11 and 20,811.30

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Solution

The fourth proportional to 83,140.62, 124,711.11 and 20,811.30 is: 31,217.00

Step by Step Solution

  1. Step 1: Write the proportion equation
    83,140.62 : 124,711.11 = 20,811.30 : x
  2. Step 2: Convert to fraction form
    83,140.62/124,711.11 = 20,811.30/x
  3. Step 3: Cross multiply
    83,140.62x = 124,711.11 × 20,811.30
  4. Step 4: Simplify right side
    83,140.62x = 2,595,400,323.54
  5. Step 5: Solve for x
    x = 2,595,400,323.54/83,140.62
  6. Step 6: Final answer
    x = 31,217.00

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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.