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Finding the Fourth Proportional to 97.11, 133.76 and 78.68

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Solution

The fourth proportional to 97.11, 133.76 and 78.68 is: 108.36

Step by Step Solution

  1. Step 1: Write the proportion equation
    97.11 : 133.76 = 78.68 : x
  2. Step 2: Convert to fraction form
    97.11/133.76 = 78.68/x
  3. Step 3: Cross multiply
    97.11x = 133.76 × 78.68
  4. Step 4: Simplify right side
    97.11x = 10,523.17
  5. Step 5: Solve for x
    x = 10,523.17/97.11
  6. Step 6: Final answer
    x = 108.36

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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.