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Finding the Fourth Proportional to 126,081.86, 189,122.92 and 72,854.87

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Solution

The fourth proportional to 126,081.86, 189,122.92 and 72,854.87 is: 109,282.38

Step by Step Solution

  1. Step 1: Write the proportion equation
    126,081.86 : 189,122.92 = 72,854.87 : x
  2. Step 2: Convert to fraction form
    126,081.86/189,122.92 = 72,854.87/x
  3. Step 3: Cross multiply
    126,081.86x = 189,122.92 × 72,854.87
  4. Step 4: Simplify right side
    126,081.86x = 13,778,524,622.87
  5. Step 5: Solve for x
    x = 13,778,524,622.87/126,081.86
  6. Step 6: Final answer
    x = 109,282.38

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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.