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Finding the Fourth Proportional to 82,342.92, 123,219.12 and 71,287.64

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Solution

The fourth proportional to 82,342.92, 123,219.12 and 71,287.64 is: 106,675.84

Step by Step Solution

  1. Step 1: Write the proportion equation
    82,342.92 : 123,219.12 = 71,287.64 : x
  2. Step 2: Convert to fraction form
    82,342.92/123,219.12 = 71,287.64/x
  3. Step 3: Cross multiply
    82,342.92x = 123,219.12 × 71,287.64
  4. Step 4: Simplify right side
    82,342.92x = 8,784,000,267.68
  5. Step 5: Solve for x
    x = 8,784,000,267.68/82,342.92
  6. Step 6: Final answer
    x = 106,675.84

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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.