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Finding the Fourth Proportional to 126,565.89, 189,755.01 and 76,633.98

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Solution

The fourth proportional to 126,565.89, 189,755.01 and 76,633.98 is: 114,894.16

Step by Step Solution

  1. Step 1: Write the proportion equation
    126,565.89 : 189,755.01 = 76,633.98 : x
  2. Step 2: Convert to fraction form
    126,565.89/189,755.01 = 76,633.98/x
  3. Step 3: Cross multiply
    126,565.89x = 189,755.01 × 76,633.98
  4. Step 4: Simplify right side
    126,565.89x = 14,541,681,641.24
  5. Step 5: Solve for x
    x = 14,541,681,641.24/126,565.89
  6. Step 6: Final answer
    x = 114,894.16

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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.