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Finding the Fourth Proportional to 99,839.97, 137,779.72 and 54,519.12

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Solution

The fourth proportional to 99,839.97, 137,779.72 and 54,519.12 is: 75,236.69

Step by Step Solution

  1. Step 1: Write the proportion equation
    99,839.97 : 137,779.72 = 54,519.12 : x
  2. Step 2: Convert to fraction form
    99,839.97/137,779.72 = 54,519.12/x
  3. Step 3: Cross multiply
    99,839.97x = 137,779.72 × 54,519.12
  4. Step 4: Simplify right side
    99,839.97x = 7,511,628,951.95
  5. Step 5: Solve for x
    x = 7,511,628,951.95/99,839.97
  6. Step 6: Final answer
    x = 75,236.69

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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.