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Finding the Fourth Proportional to 82,003.70, 122,969.10 and 32,067.20

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Solution

The fourth proportional to 82,003.70, 122,969.10 and 32,067.20 is: 48,086.55

Step by Step Solution

  1. Step 1: Write the proportion equation
    82,003.70 : 122,969.10 = 32,067.20 : x
  2. Step 2: Convert to fraction form
    82,003.70/122,969.10 = 32,067.20/x
  3. Step 3: Cross multiply
    82,003.70x = 122,969.10 × 32,067.20
  4. Step 4: Simplify right side
    82,003.70x = 3,943,274,723.52
  5. Step 5: Solve for x
    x = 3,943,274,723.52/82,003.70
  6. Step 6: Final answer
    x = 48,086.55

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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.