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Finding the Fourth Proportional to 84,177.20, 126,411.60 and 44,811.20

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Solution

The fourth proportional to 84,177.20, 126,411.60 and 44,811.20 is: 67,294.42

Step by Step Solution

  1. Step 1: Write the proportion equation
    84,177.20 : 126,411.60 = 44,811.20 : x
  2. Step 2: Convert to fraction form
    84,177.20/126,411.60 = 44,811.20/x
  3. Step 3: Cross multiply
    84,177.20x = 126,411.60 × 44,811.20
  4. Step 4: Simplify right side
    84,177.20x = 5,664,655,489.92
  5. Step 5: Solve for x
    x = 5,664,655,489.92/84,177.20
  6. Step 6: Final answer
    x = 67,294.42

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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.