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Finding the Fourth Proportional to 218,078.25, 326,983.39 and 84,803.15

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Solution

The fourth proportional to 218,078.25, 326,983.39 and 84,803.15 is: 127,152.62

Step by Step Solution

  1. Step 1: Write the proportion equation
    218,078.25 : 326,983.39 = 84,803.15 : x
  2. Step 2: Convert to fraction form
    218,078.25/326,983.39 = 84,803.15/x
  3. Step 3: Cross multiply
    218,078.25x = 326,983.39 × 84,803.15
  4. Step 4: Simplify right side
    218,078.25x = 27,729,221,469.68
  5. Step 5: Solve for x
    x = 27,729,221,469.68/218,078.25
  6. Step 6: Final answer
    x = 127,152.62

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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.