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Finding the Fourth Proportional to 171.72, 236.85 and 109.56

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Solution

The fourth proportional to 171.72, 236.85 and 109.56 is: 151.11

Step by Step Solution

  1. Step 1: Write the proportion equation
    171.72 : 236.85 = 109.56 : x
  2. Step 2: Convert to fraction form
    171.72/236.85 = 109.56/x
  3. Step 3: Cross multiply
    171.72x = 236.85 × 109.56
  4. Step 4: Simplify right side
    171.72x = 25,949.29
  5. Step 5: Solve for x
    x = 25,949.29/171.72
  6. Step 6: Final answer
    x = 151.11

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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.