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Finding the Fourth Proportional to 66,149.78, 91,286.33 and 35,934.85

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Solution

The fourth proportional to 66,149.78, 91,286.33 and 35,934.85 is: 49,589.90

Step by Step Solution

  1. Step 1: Write the proportion equation
    66,149.78 : 91,286.33 = 35,934.85 : x
  2. Step 2: Convert to fraction form
    66,149.78/91,286.33 = 35,934.85/x
  3. Step 3: Cross multiply
    66,149.78x = 91,286.33 × 35,934.85
  4. Step 4: Simplify right side
    66,149.78x = 3,280,360,510.03
  5. Step 5: Solve for x
    x = 3,280,360,510.03/66,149.78
  6. Step 6: Final answer
    x = 49,589.90

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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.