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Finding the Fourth Proportional to 36,115.80, 54,101.70 and 31,786.20

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Solution

The fourth proportional to 36,115.80, 54,101.70 and 31,786.20 is: 47,615.93

Step by Step Solution

  1. Step 1: Write the proportion equation
    36,115.80 : 54,101.70 = 31,786.20 : x
  2. Step 2: Convert to fraction form
    36,115.80/54,101.70 = 31,786.20/x
  3. Step 3: Cross multiply
    36,115.80x = 54,101.70 × 31,786.20
  4. Step 4: Simplify right side
    36,115.80x = 1,719,687,456.54
  5. Step 5: Solve for x
    x = 1,719,687,456.54/36,115.80
  6. Step 6: Final answer
    x = 47,615.93

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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.