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Finding the Fourth Proportional to 126,147.70, 189,221.55 and 86,584.87

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Solution

The fourth proportional to 126,147.70, 189,221.55 and 86,584.87 is: 129,877.31

Step by Step Solution

  1. Step 1: Write the proportion equation
    126,147.70 : 189,221.55 = 86,584.87 : x
  2. Step 2: Convert to fraction form
    126,147.70/189,221.55 = 86,584.87/x
  3. Step 3: Cross multiply
    126,147.70x = 189,221.55 × 86,584.87
  4. Step 4: Simplify right side
    126,147.70x = 16,383,723,307.95
  5. Step 5: Solve for x
    x = 16,383,723,307.95/126,147.70
  6. Step 6: Final answer
    x = 129,877.31

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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.