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Finding the Fourth Proportional to 171.16, 235.96 and 121.96

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Solution

The fourth proportional to 171.16, 235.96 and 121.96 is: 168.13

Step by Step Solution

  1. Step 1: Write the proportion equation
    171.16 : 235.96 = 121.96 : x
  2. Step 2: Convert to fraction form
    171.16/235.96 = 121.96/x
  3. Step 3: Cross multiply
    171.16x = 235.96 × 121.96
  4. Step 4: Simplify right side
    171.16x = 28,777.68
  5. Step 5: Solve for x
    x = 28,777.68/171.16
  6. Step 6: Final answer
    x = 168.13

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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.