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Finding the Fourth Proportional to 126,507.86, 189,792.92 and 89,140.88

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Solution

The fourth proportional to 126,507.86, 189,792.92 and 89,140.88 is: 133,733.25

Step by Step Solution

  1. Step 1: Write the proportion equation
    126,507.86 : 189,792.92 = 89,140.88 : x
  2. Step 2: Convert to fraction form
    126,507.86/189,792.92 = 89,140.88/x
  3. Step 3: Cross multiply
    126,507.86x = 189,792.92 × 89,140.88
  4. Step 4: Simplify right side
    126,507.86x = 16,918,306,511.90
  5. Step 5: Solve for x
    x = 16,918,306,511.90/126,507.86
  6. Step 6: Final answer
    x = 133,733.25

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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.