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Finding the Fourth Proportional to 80,633.72, 120,972.36 and 28,046.12

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Solution

The fourth proportional to 80,633.72, 120,972.36 and 28,046.12 is: 42,076.76

Step by Step Solution

  1. Step 1: Write the proportion equation
    80,633.72 : 120,972.36 = 28,046.12 : x
  2. Step 2: Convert to fraction form
    80,633.72/120,972.36 = 28,046.12/x
  3. Step 3: Cross multiply
    80,633.72x = 120,972.36 × 28,046.12
  4. Step 4: Simplify right side
    80,633.72x = 3,392,805,325.24
  5. Step 5: Solve for x
    x = 3,392,805,325.24/80,633.72
  6. Step 6: Final answer
    x = 42,076.76

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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.