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Finding the Fourth Proportional to 126,091.80, 189,137.70 and 72,947.70

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Solution

The fourth proportional to 126,091.80, 189,137.70 and 72,947.70 is: 109,421.55

Step by Step Solution

  1. Step 1: Write the proportion equation
    126,091.80 : 189,137.70 = 72,947.70 : x
  2. Step 2: Convert to fraction form
    126,091.80/189,137.70 = 72,947.70/x
  3. Step 3: Cross multiply
    126,091.80x = 189,137.70 × 72,947.70
  4. Step 4: Simplify right side
    126,091.80x = 13,797,160,198.29
  5. Step 5: Solve for x
    x = 13,797,160,198.29/126,091.80
  6. Step 6: Final answer
    x = 109,421.55

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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.