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Finding the Fourth Proportional to 84.51, 117.11 and 81.81

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Solution

The fourth proportional to 84.51, 117.11 and 81.81 is: 113.37

Step by Step Solution

  1. Step 1: Write the proportion equation
    84.51 : 117.11 = 81.81 : x
  2. Step 2: Convert to fraction form
    84.51/117.11 = 81.81/x
  3. Step 3: Cross multiply
    84.51x = 117.11 × 81.81
  4. Step 4: Simplify right side
    84.51x = 9,580.97
  5. Step 5: Solve for x
    x = 9,580.97/84.51
  6. Step 6: Final answer
    x = 113.37

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Why These Related Problems?

These problems maintain the same ratio (1.39) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.