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Finding the Fourth Proportional to 80,302.78, 120,473.31 and 27,712.72

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Solution

The fourth proportional to 80,302.78, 120,473.31 and 27,712.72 is: 41,575.69

Step by Step Solution

  1. Step 1: Write the proportion equation
    80,302.78 : 120,473.31 = 27,712.72 : x
  2. Step 2: Convert to fraction form
    80,302.78/120,473.31 = 27,712.72/x
  3. Step 3: Cross multiply
    80,302.78x = 120,473.31 × 27,712.72
  4. Step 4: Simplify right side
    80,302.78x = 3,338,643,107.50
  5. Step 5: Solve for x
    x = 3,338,643,107.50/80,302.78
  6. Step 6: Final answer
    x = 41,575.69

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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.