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Finding the Fourth Proportional to 126,575.72, 189,892.38 and 67,380.20

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Solution

The fourth proportional to 126,575.72, 189,892.38 and 67,380.20 is: 101,085.63

Step by Step Solution

  1. Step 1: Write the proportion equation
    126,575.72 : 189,892.38 = 67,380.20 : x
  2. Step 2: Convert to fraction form
    126,575.72/189,892.38 = 67,380.20/x
  3. Step 3: Cross multiply
    126,575.72x = 189,892.38 × 67,380.20
  4. Step 4: Simplify right side
    126,575.72x = 12,794,986,542.88
  5. Step 5: Solve for x
    x = 12,794,986,542.88/126,575.72
  6. Step 6: Final answer
    x = 101,085.63

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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.