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Finding the Fourth Proportional to 126,165.97, 189,279.33 and 47,280.88

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Solution

The fourth proportional to 126,165.97, 189,279.33 and 47,280.88 is: 70,932.70

Step by Step Solution

  1. Step 1: Write the proportion equation
    126,165.97 : 189,279.33 = 47,280.88 : x
  2. Step 2: Convert to fraction form
    126,165.97/189,279.33 = 47,280.88/x
  3. Step 3: Cross multiply
    126,165.97x = 189,279.33 × 47,280.88
  4. Step 4: Simplify right side
    126,165.97x = 8,949,293,288.21
  5. Step 5: Solve for x
    x = 8,949,293,288.21/126,165.97
  6. Step 6: Final answer
    x = 70,932.70

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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.