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Finding the Fourth Proportional to 213,997.92, 320,987.16 and 80,868

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Solution

The fourth proportional to 213,997.92, 320,987.16 and 80,868 is: 121,298.33

Step by Step Solution

  1. Step 1: Write the proportion equation
    213,997.92 : 320,987.16 = 80,868 : x
  2. Step 2: Convert to fraction form
    213,997.92/320,987.16 = 80,868/x
  3. Step 3: Cross multiply
    213,997.92x = 320,987.16 × 80,868
  4. Step 4: Simplify right side
    213,997.92x = 25,957,589,654.88
  5. Step 5: Solve for x
    x = 25,957,589,654.88/213,997.92
  6. Step 6: Final answer
    x = 121,298.33

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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.