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Finding the Fourth Proportional to 65,891.57, 90,930.22 and 35,676.90

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Solution

The fourth proportional to 65,891.57, 90,930.22 and 35,676.90 is: 49,234.05

Step by Step Solution

  1. Step 1: Write the proportion equation
    65,891.57 : 90,930.22 = 35,676.90 : x
  2. Step 2: Convert to fraction form
    65,891.57/90,930.22 = 35,676.90/x
  3. Step 3: Cross multiply
    65,891.57x = 90,930.22 × 35,676.90
  4. Step 4: Simplify right side
    65,891.57x = 3,244,108,276.73
  5. Step 5: Solve for x
    x = 3,244,108,276.73/65,891.57
  6. Step 6: Final answer
    x = 49,234.05

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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.