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Finding the Fourth Proportional to 80,578.86, 120,868.14 and 27,988.80

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Solution

The fourth proportional to 80,578.86, 120,868.14 and 27,988.80 is: 41,983.15

Step by Step Solution

  1. Step 1: Write the proportion equation
    80,578.86 : 120,868.14 = 27,988.80 : x
  2. Step 2: Convert to fraction form
    80,578.86/120,868.14 = 27,988.80/x
  3. Step 3: Cross multiply
    80,578.86x = 120,868.14 × 27,988.80
  4. Step 4: Simplify right side
    80,578.86x = 3,382,954,196.83
  5. Step 5: Solve for x
    x = 3,382,954,196.83/80,578.86
  6. Step 6: Final answer
    x = 41,983.15

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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.