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Finding the Fourth Proportional to 82,964.80, 124,447.20 and 20,635.30

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Solution

The fourth proportional to 82,964.80, 124,447.20 and 20,635.30 is: 30,952.95

Step by Step Solution

  1. Step 1: Write the proportion equation
    82,964.80 : 124,447.20 = 20,635.30 : x
  2. Step 2: Convert to fraction form
    82,964.80/124,447.20 = 20,635.30/x
  3. Step 3: Cross multiply
    82,964.80x = 124,447.20 × 20,635.30
  4. Step 4: Simplify right side
    82,964.80x = 2,568,005,306.16
  5. Step 5: Solve for x
    x = 2,568,005,306.16/82,964.80
  6. Step 6: Final answer
    x = 30,952.95

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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.