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Finding the Fourth Proportional to 209,147.38, 313,770.28 and 68,906

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Solution

The fourth proportional to 209,147.38, 313,770.28 and 68,906 is: 103,375.21

Step by Step Solution

  1. Step 1: Write the proportion equation
    209,147.38 : 313,770.28 = 68,906 : x
  2. Step 2: Convert to fraction form
    209,147.38/313,770.28 = 68,906/x
  3. Step 3: Cross multiply
    209,147.38x = 313,770.28 × 68,906
  4. Step 4: Simplify right side
    209,147.38x = 21,620,654,913.68
  5. Step 5: Solve for x
    x = 21,620,654,913.68/209,147.38
  6. Step 6: Final answer
    x = 103,375.21

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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.