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Finding the Fourth Proportional to 126,514.86, 189,803.42 and 89,147.88

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Solution

The fourth proportional to 126,514.86, 189,803.42 and 89,147.88 is: 133,743.76

Step by Step Solution

  1. Step 1: Write the proportion equation
    126,514.86 : 189,803.42 = 89,147.88 : x
  2. Step 2: Convert to fraction form
    126,514.86/189,803.42 = 89,147.88/x
  3. Step 3: Cross multiply
    126,514.86x = 189,803.42 × 89,147.88
  4. Step 4: Simplify right side
    126,514.86x = 16,920,572,509.75
  5. Step 5: Solve for x
    x = 16,920,572,509.75/126,514.86
  6. Step 6: Final answer
    x = 133,743.76

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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.