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Finding the Fourth Proportional to 126,508.86, 189,794.42 and 89,141.88

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Solution

The fourth proportional to 126,508.86, 189,794.42 and 89,141.88 is: 133,734.76

Step by Step Solution

  1. Step 1: Write the proportion equation
    126,508.86 : 189,794.42 = 89,141.88 : x
  2. Step 2: Convert to fraction form
    126,508.86/189,794.42 = 89,141.88/x
  3. Step 3: Cross multiply
    126,508.86x = 189,794.42 × 89,141.88
  4. Step 4: Simplify right side
    126,508.86x = 16,918,631,412.31
  5. Step 5: Solve for x
    x = 16,918,631,412.31/126,508.86
  6. Step 6: Final answer
    x = 133,734.76

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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.