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Finding the Fourth Proportional to 82,311.68, 123,479.28 and 25,390.40

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Solution

The fourth proportional to 82,311.68, 123,479.28 and 25,390.40 is: 38,089.23

Step by Step Solution

  1. Step 1: Write the proportion equation
    82,311.68 : 123,479.28 = 25,390.40 : x
  2. Step 2: Convert to fraction form
    82,311.68/123,479.28 = 25,390.40/x
  3. Step 3: Cross multiply
    82,311.68x = 123,479.28 × 25,390.40
  4. Step 4: Simplify right side
    82,311.68x = 3,135,188,310.91
  5. Step 5: Solve for x
    x = 3,135,188,310.91/82,311.68
  6. Step 6: Final answer
    x = 38,089.23

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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.