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Finding the Fourth Proportional to 80,451.66, 120,648.69 and 27,847.02

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Solution

The fourth proportional to 80,451.66, 120,648.69 and 27,847.02 is: 41,760.56

Step by Step Solution

  1. Step 1: Write the proportion equation
    80,451.66 : 120,648.69 = 27,847.02 : x
  2. Step 2: Convert to fraction form
    80,451.66/120,648.69 = 27,847.02/x
  3. Step 3: Cross multiply
    80,451.66x = 120,648.69 × 27,847.02
  4. Step 4: Simplify right side
    80,451.66x = 3,359,706,483.40
  5. Step 5: Solve for x
    x = 3,359,706,483.40/80,451.66
  6. Step 6: Final answer
    x = 41,760.56

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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.