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Finding the Fourth Proportional to 97.56, 134.82 and 87.84

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Solution

The fourth proportional to 97.56, 134.82 and 87.84 is: 121.39

Step by Step Solution

  1. Step 1: Write the proportion equation
    97.56 : 134.82 = 87.84 : x
  2. Step 2: Convert to fraction form
    97.56/134.82 = 87.84/x
  3. Step 3: Cross multiply
    97.56x = 134.82 × 87.84
  4. Step 4: Simplify right side
    97.56x = 11,842.59
  5. Step 5: Solve for x
    x = 11,842.59/97.56
  6. Step 6: Final answer
    x = 121.39

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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.