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Finding the Fourth Proportional to 80,396.52, 120,627.60 and 27,843

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Solution

The fourth proportional to 80,396.52, 120,627.60 and 27,843 is: 41,775.87

Step by Step Solution

  1. Step 1: Write the proportion equation
    80,396.52 : 120,627.60 = 27,843 : x
  2. Step 2: Convert to fraction form
    80,396.52/120,627.60 = 27,843/x
  3. Step 3: Cross multiply
    80,396.52x = 120,627.60 × 27,843
  4. Step 4: Simplify right side
    80,396.52x = 3,358,634,266.80
  5. Step 5: Solve for x
    x = 3,358,634,266.80/80,396.52
  6. Step 6: Final answer
    x = 41,775.87

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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.