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Finding the Fourth Proportional to 126,510.86, 189,797.42 and 89,143.88

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Solution

The fourth proportional to 126,510.86, 189,797.42 and 89,143.88 is: 133,737.75

Step by Step Solution

  1. Step 1: Write the proportion equation
    126,510.86 : 189,797.42 = 89,143.88 : x
  2. Step 2: Convert to fraction form
    126,510.86/189,797.42 = 89,143.88/x
  3. Step 3: Cross multiply
    126,510.86x = 189,797.42 × 89,143.88
  4. Step 4: Simplify right side
    126,510.86x = 16,919,277,038.08
  5. Step 5: Solve for x
    x = 16,919,277,038.08/126,510.86
  6. Step 6: Final answer
    x = 133,737.75

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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.