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Finding the Fourth Proportional to 84,036.86, 126,074.87 and 27,872.86

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Solution

The fourth proportional to 84,036.86, 126,074.87 and 27,872.86 is: 41,815.78

Step by Step Solution

  1. Step 1: Write the proportion equation
    84,036.86 : 126,074.87 = 27,872.86 : x
  2. Step 2: Convert to fraction form
    84,036.86/126,074.87 = 27,872.86/x
  3. Step 3: Cross multiply
    84,036.86x = 126,074.87 × 27,872.86
  4. Step 4: Simplify right side
    84,036.86x = 3,514,067,201.03
  5. Step 5: Solve for x
    x = 3,514,067,201.03/84,036.86
  6. Step 6: Final answer
    x = 41,815.78

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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.