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Finding the Fourth Proportional to 135.89, 187.51 and 80.65

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Solution

The fourth proportional to 135.89, 187.51 and 80.65 is: 111.28

Step by Step Solution

  1. Step 1: Write the proportion equation
    135.89 : 187.51 = 80.65 : x
  2. Step 2: Convert to fraction form
    135.89/187.51 = 80.65/x
  3. Step 3: Cross multiply
    135.89x = 187.51 × 80.65
  4. Step 4: Simplify right side
    135.89x = 15,121.75
  5. Step 5: Solve for x
    x = 15,121.75/135.89
  6. Step 6: Final answer
    x = 111.28

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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.