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Finding the Fourth Proportional to 209,229.48, 313,662.78 and 84,489.48

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Solution

The fourth proportional to 209,229.48, 313,662.78 and 84,489.48 is: 126,660.95

Step by Step Solution

  1. Step 1: Write the proportion equation
    209,229.48 : 313,662.78 = 84,489.48 : x
  2. Step 2: Convert to fraction form
    209,229.48/313,662.78 = 84,489.48/x
  3. Step 3: Cross multiply
    209,229.48x = 313,662.78 × 84,489.48
  4. Step 4: Simplify right side
    209,229.48x = 26,501,205,177.55
  5. Step 5: Solve for x
    x = 26,501,205,177.55/209,229.48
  6. Step 6: Final answer
    x = 126,660.95

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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.