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Finding the Fourth Proportional to 83,540.80, 125,307.84 and 27,385.12

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Solution

The fourth proportional to 83,540.80, 125,307.84 and 27,385.12 is: 41,076.58

Step by Step Solution

  1. Step 1: Write the proportion equation
    83,540.80 : 125,307.84 = 27,385.12 : x
  2. Step 2: Convert to fraction form
    83,540.80/125,307.84 = 27,385.12/x
  3. Step 3: Cross multiply
    83,540.80x = 125,307.84 × 27,385.12
  4. Step 4: Simplify right side
    83,540.80x = 3,431,570,235.34
  5. Step 5: Solve for x
    x = 3,431,570,235.34/83,540.80
  6. Step 6: Final answer
    x = 41,076.58

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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.