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Finding the Fourth Proportional to 126,047.70, 189,071.55 and 81,432.90

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Solution

The fourth proportional to 126,047.70, 189,071.55 and 81,432.90 is: 122,149.35

Step by Step Solution

  1. Step 1: Write the proportion equation
    126,047.70 : 189,071.55 = 81,432.90 : x
  2. Step 2: Convert to fraction form
    126,047.70/189,071.55 = 81,432.90/x
  3. Step 3: Cross multiply
    126,047.70x = 189,071.55 × 81,432.90
  4. Step 4: Simplify right side
    126,047.70x = 15,396,644,624.00
  5. Step 5: Solve for x
    x = 15,396,644,624.00/126,047.70
  6. Step 6: Final answer
    x = 122,149.35

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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.