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Finding the Fourth Proportional to 82,079.70, 123,029.31 and 32,150.49

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Solution

The fourth proportional to 82,079.70, 123,029.31 and 32,150.49 is: 48,190.39

Step by Step Solution

  1. Step 1: Write the proportion equation
    82,079.70 : 123,029.31 = 32,150.49 : x
  2. Step 2: Convert to fraction form
    82,079.70/123,029.31 = 32,150.49/x
  3. Step 3: Cross multiply
    82,079.70x = 123,029.31 × 32,150.49
  4. Step 4: Simplify right side
    82,079.70x = 3,955,452,600.86
  5. Step 5: Solve for x
    x = 3,955,452,600.86/82,079.70
  6. Step 6: Final answer
    x = 48,190.39

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.