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Finding the Fourth Proportional to 97.12, 134.23 and 87.22

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Solution

The fourth proportional to 97.12, 134.23 and 87.22 is: 120.55

Step by Step Solution

  1. Step 1: Write the proportion equation
    97.12 : 134.23 = 87.22 : x
  2. Step 2: Convert to fraction form
    97.12/134.23 = 87.22/x
  3. Step 3: Cross multiply
    97.12x = 134.23 × 87.22
  4. Step 4: Simplify right side
    97.12x = 11,707.54
  5. Step 5: Solve for x
    x = 11,707.54/97.12
  6. Step 6: Final answer
    x = 120.55

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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.