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Finding the Fourth Proportional to 142,691.44, 196,912.20 and 82,262.20

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Solution

The fourth proportional to 142,691.44, 196,912.20 and 82,262.20 is: 113,520.69

Step by Step Solution

  1. Step 1: Write the proportion equation
    142,691.44 : 196,912.20 = 82,262.20 : x
  2. Step 2: Convert to fraction form
    142,691.44/196,912.20 = 82,262.20/x
  3. Step 3: Cross multiply
    142,691.44x = 196,912.20 × 82,262.20
  4. Step 4: Simplify right side
    142,691.44x = 16,198,430,778.84
  5. Step 5: Solve for x
    x = 16,198,430,778.84/142,691.44
  6. Step 6: Final answer
    x = 113,520.69

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1.5x scale

Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.