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Finding the Fourth Proportional to 85.03, 116.67 and 81.79

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Solution

The fourth proportional to 85.03, 116.67 and 81.79 is: 112.22

Step by Step Solution

  1. Step 1: Write the proportion equation
    85.03 : 116.67 = 81.79 : x
  2. Step 2: Convert to fraction form
    85.03/116.67 = 81.79/x
  3. Step 3: Cross multiply
    85.03x = 116.67 × 81.79
  4. Step 4: Simplify right side
    85.03x = 9,542.44
  5. Step 5: Solve for x
    x = 9,542.44/85.03
  6. Step 6: Final answer
    x = 112.22

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Why These Related Problems?

These problems maintain the same ratio (1.37) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.