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Finding the Fourth Proportional to 218,109.20, 326,920.80 and 84,945.20

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Solution

The fourth proportional to 218,109.20, 326,920.80 and 84,945.20 is: 127,323.16

Step by Step Solution

  1. Step 1: Write the proportion equation
    218,109.20 : 326,920.80 = 84,945.20 : x
  2. Step 2: Convert to fraction form
    218,109.20/326,920.80 = 84,945.20/x
  3. Step 3: Cross multiply
    218,109.20x = 326,920.80 × 84,945.20
  4. Step 4: Simplify right side
    218,109.20x = 27,770,352,740.16
  5. Step 5: Solve for x
    x = 27,770,352,740.16/218,109.20
  6. Step 6: Final answer
    x = 127,323.16

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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.