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Finding the Fourth Proportional to 209,245.26, 288,761.32 and 113,753.96

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Solution

The fourth proportional to 209,245.26, 288,761.32 and 113,753.96 is: 156,982.02

Step by Step Solution

  1. Step 1: Write the proportion equation
    209,245.26 : 288,761.32 = 113,753.96 : x
  2. Step 2: Convert to fraction form
    209,245.26/288,761.32 = 113,753.96/x
  3. Step 3: Cross multiply
    209,245.26x = 288,761.32 × 113,753.96
  4. Step 4: Simplify right side
    209,245.26x = 32,847,743,644.83
  5. Step 5: Solve for x
    x = 32,847,743,644.83/209,245.26
  6. Step 6: Final answer
    x = 156,982.02

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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.