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Finding the Fourth Proportional to 66,081.57, 91,189.85 and 35,865.78

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Solution

The fourth proportional to 66,081.57, 91,189.85 and 35,865.78 is: 49,493.30

Step by Step Solution

  1. Step 1: Write the proportion equation
    66,081.57 : 91,189.85 = 35,865.78 : x
  2. Step 2: Convert to fraction form
    66,081.57/91,189.85 = 35,865.78/x
  3. Step 3: Cross multiply
    66,081.57x = 91,189.85 × 35,865.78
  4. Step 4: Simplify right side
    66,081.57x = 3,270,594,919.00
  5. Step 5: Solve for x
    x = 3,270,594,919.00/66,081.57
  6. Step 6: Final answer
    x = 49,493.30

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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.