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Finding the Fourth Proportional to 136.65, 187.71 and 112.02

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Solution

The fourth proportional to 136.65, 187.71 and 112.02 is: 153.88

Step by Step Solution

  1. Step 1: Write the proportion equation
    136.65 : 187.71 = 112.02 : x
  2. Step 2: Convert to fraction form
    136.65/187.71 = 112.02/x
  3. Step 3: Cross multiply
    136.65x = 187.71 × 112.02
  4. Step 4: Simplify right side
    136.65x = 21,027.27
  5. Step 5: Solve for x
    x = 21,027.27/136.65
  6. Step 6: Final answer
    x = 153.88

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Why These Related Problems?

These problems maintain the same ratio (1.37) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.