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Finding the Fourth Proportional to 80,243.78, 120,291.96 and 27,640.76

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Solution

The fourth proportional to 80,243.78, 120,291.96 and 27,640.76 is: 41,435.75

Step by Step Solution

  1. Step 1: Write the proportion equation
    80,243.78 : 120,291.96 = 27,640.76 : x
  2. Step 2: Convert to fraction form
    80,243.78/120,291.96 = 27,640.76/x
  3. Step 3: Cross multiply
    80,243.78x = 120,291.96 × 27,640.76
  4. Step 4: Simplify right side
    80,243.78x = 3,324,961,196.29
  5. Step 5: Solve for x
    x = 3,324,961,196.29/80,243.78
  6. Step 6: Final answer
    x = 41,435.75

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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.