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Finding the Fourth Proportional to 126,462.96, 189,891.72 and 120,854.16

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Solution

The fourth proportional to 126,462.96, 189,891.72 and 120,854.16 is: 181,469.77

Step by Step Solution

  1. Step 1: Write the proportion equation
    126,462.96 : 189,891.72 = 120,854.16 : x
  2. Step 2: Convert to fraction form
    126,462.96/189,891.72 = 120,854.16/x
  3. Step 3: Cross multiply
    126,462.96x = 189,891.72 × 120,854.16
  4. Step 4: Simplify right side
    126,462.96x = 22,949,204,311.56
  5. Step 5: Solve for x
    x = 22,949,204,311.56/126,462.96
  6. Step 6: Final answer
    x = 181,469.77

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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.