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Finding the Fourth Proportional to 209,174.67, 313,890.78 and 82,793.40

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Solution

The fourth proportional to 209,174.67, 313,890.78 and 82,793.40 is: 124,241.07

Step by Step Solution

  1. Step 1: Write the proportion equation
    209,174.67 : 313,890.78 = 82,793.40 : x
  2. Step 2: Convert to fraction form
    209,174.67/313,890.78 = 82,793.40/x
  3. Step 3: Cross multiply
    209,174.67x = 313,890.78 × 82,793.40
  4. Step 4: Simplify right side
    209,174.67x = 25,988,084,904.85
  5. Step 5: Solve for x
    x = 25,988,084,904.85/209,174.67
  6. Step 6: Final answer
    x = 124,241.07

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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.