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Finding the Fourth Proportional to 80,471.27, 120,717.84 and 27,884.86

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Solution

The fourth proportional to 80,471.27, 120,717.84 and 27,884.86 is: 41,831.08

Step by Step Solution

  1. Step 1: Write the proportion equation
    80,471.27 : 120,717.84 = 27,884.86 : x
  2. Step 2: Convert to fraction form
    80,471.27/120,717.84 = 27,884.86/x
  3. Step 3: Cross multiply
    80,471.27x = 120,717.84 × 27,884.86
  4. Step 4: Simplify right side
    80,471.27x = 3,366,199,870.68
  5. Step 5: Solve for x
    x = 3,366,199,870.68/80,471.27
  6. Step 6: Final answer
    x = 41,831.08

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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.