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Finding the Fourth Proportional to 126,652.32, 189,913.68 and 67,520.16

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Solution

The fourth proportional to 126,652.32, 189,913.68 and 67,520.16 is: 101,245.69

Step by Step Solution

  1. Step 1: Write the proportion equation
    126,652.32 : 189,913.68 = 67,520.16 : x
  2. Step 2: Convert to fraction form
    126,652.32/189,913.68 = 67,520.16/x
  3. Step 3: Cross multiply
    126,652.32x = 189,913.68 × 67,520.16
  4. Step 4: Simplify right side
    126,652.32x = 12,823,002,059.79
  5. Step 5: Solve for x
    x = 12,823,002,059.79/126,652.32
  6. Step 6: Final answer
    x = 101,245.69

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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.