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Finding the Fourth Proportional to 80,525.71, 111,121.77 and 44,718

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Solution

The fourth proportional to 80,525.71, 111,121.77 and 44,718 is: 61,708.78

Step by Step Solution

  1. Step 1: Write the proportion equation
    80,525.71 : 111,121.77 = 44,718 : x
  2. Step 2: Convert to fraction form
    80,525.71/111,121.77 = 44,718/x
  3. Step 3: Cross multiply
    80,525.71x = 111,121.77 × 44,718
  4. Step 4: Simplify right side
    80,525.71x = 4,969,143,310.86
  5. Step 5: Solve for x
    x = 4,969,143,310.86/80,525.71
  6. Step 6: Final answer
    x = 61,708.78

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.