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Finding the Fourth Proportional to 126,512.86, 189,800.42 and 89,145.88

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Solution

The fourth proportional to 126,512.86, 189,800.42 and 89,145.88 is: 133,740.76

Step by Step Solution

  1. Step 1: Write the proportion equation
    126,512.86 : 189,800.42 = 89,145.88 : x
  2. Step 2: Convert to fraction form
    126,512.86/189,800.42 = 89,145.88/x
  3. Step 3: Cross multiply
    126,512.86x = 189,800.42 × 89,145.88
  4. Step 4: Simplify right side
    126,512.86x = 16,919,925,465.27
  5. Step 5: Solve for x
    x = 16,919,925,465.27/126,512.86
  6. Step 6: Final answer
    x = 133,740.76

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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.