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Finding the Fourth Proportional to 81.97, 113.24 and 70.43

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Solution

The fourth proportional to 81.97, 113.24 and 70.43 is: 97.30

Step by Step Solution

  1. Step 1: Write the proportion equation
    81.97 : 113.24 = 70.43 : x
  2. Step 2: Convert to fraction form
    81.97/113.24 = 70.43/x
  3. Step 3: Cross multiply
    81.97x = 113.24 × 70.43
  4. Step 4: Simplify right side
    81.97x = 7,975.49
  5. Step 5: Solve for x
    x = 7,975.49/81.97
  6. Step 6: Final answer
    x = 97.30

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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.