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Finding the Fourth Proportional to 85.16, 117.63 and 81.11

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Solution

The fourth proportional to 85.16, 117.63 and 81.11 is: 112.04

Step by Step Solution

  1. Step 1: Write the proportion equation
    85.16 : 117.63 = 81.11 : x
  2. Step 2: Convert to fraction form
    85.16/117.63 = 81.11/x
  3. Step 3: Cross multiply
    85.16x = 117.63 × 81.11
  4. Step 4: Simplify right side
    85.16x = 9,540.38
  5. Step 5: Solve for x
    x = 9,540.38/85.16
  6. Step 6: Final answer
    x = 112.04

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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.