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Finding the Fourth Proportional to 126,499.92, 189,728.36 and 42,250.52

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Solution

The fourth proportional to 126,499.92, 189,728.36 and 42,250.52 is: 63,368.59

Step by Step Solution

  1. Step 1: Write the proportion equation
    126,499.92 : 189,728.36 = 42,250.52 : x
  2. Step 2: Convert to fraction form
    126,499.92/189,728.36 = 42,250.52/x
  3. Step 3: Cross multiply
    126,499.92x = 189,728.36 × 42,250.52
  4. Step 4: Simplify right side
    126,499.92x = 8,016,121,868.75
  5. Step 5: Solve for x
    x = 8,016,121,868.75/126,499.92
  6. Step 6: Final answer
    x = 63,368.59

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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.