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Finding the Fourth Proportional to 85,879.70, 118,514.31 and 47,642.78

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Solution

The fourth proportional to 85,879.70, 118,514.31 and 47,642.78 is: 65,747.22

Step by Step Solution

  1. Step 1: Write the proportion equation
    85,879.70 : 118,514.31 = 47,642.78 : x
  2. Step 2: Convert to fraction form
    85,879.70/118,514.31 = 47,642.78/x
  3. Step 3: Cross multiply
    85,879.70x = 118,514.31 × 47,642.78
  4. Step 4: Simplify right side
    85,879.70x = 5,646,351,198.18
  5. Step 5: Solve for x
    x = 5,646,351,198.18/85,879.70
  6. Step 6: Final answer
    x = 65,747.22

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.