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Finding the Fourth Proportional to 126,045, 189,098.22 and 38,493

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Solution

The fourth proportional to 126,045, 189,098.22 and 38,493 is: 57,748.88

Step by Step Solution

  1. Step 1: Write the proportion equation
    126,045 : 189,098.22 = 38,493 : x
  2. Step 2: Convert to fraction form
    126,045/189,098.22 = 38,493/x
  3. Step 3: Cross multiply
    126,045x = 189,098.22 × 38,493
  4. Step 4: Simplify right side
    126,045x = 7,278,957,782.46
  5. Step 5: Solve for x
    x = 7,278,957,782.46/126,045
  6. Step 6: Final answer
    x = 57,748.88

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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.