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Finding the Fourth Proportional to 66,781.88, 100,198.74 and 27,357.56

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Solution

The fourth proportional to 66,781.88, 100,198.74 and 27,357.56 is: 41,046.96

Step by Step Solution

  1. Step 1: Write the proportion equation
    66,781.88 : 100,198.74 = 27,357.56 : x
  2. Step 2: Convert to fraction form
    66,781.88/100,198.74 = 27,357.56/x
  3. Step 3: Cross multiply
    66,781.88x = 100,198.74 × 27,357.56
  4. Step 4: Simplify right side
    66,781.88x = 2,741,193,041.47
  5. Step 5: Solve for x
    x = 2,741,193,041.47/66,781.88
  6. Step 6: Final answer
    x = 41,046.96

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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.