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Finding the Fourth Proportional to 84.82, 117.30 and 81.04

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Solution

The fourth proportional to 84.82, 117.30 and 81.04 is: 112.07

Step by Step Solution

  1. Step 1: Write the proportion equation
    84.82 : 117.30 = 81.04 : x
  2. Step 2: Convert to fraction form
    84.82/117.30 = 81.04/x
  3. Step 3: Cross multiply
    84.82x = 117.30 × 81.04
  4. Step 4: Simplify right side
    84.82x = 9,505.99
  5. Step 5: Solve for x
    x = 9,505.99/84.82
  6. Step 6: Final answer
    x = 112.07

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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.