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Finding the Fourth Proportional to 136.02, 186.81 and 121.44

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Solution

The fourth proportional to 136.02, 186.81 and 121.44 is: 166.79

Step by Step Solution

  1. Step 1: Write the proportion equation
    136.02 : 186.81 = 121.44 : x
  2. Step 2: Convert to fraction form
    136.02/186.81 = 121.44/x
  3. Step 3: Cross multiply
    136.02x = 186.81 × 121.44
  4. Step 4: Simplify right side
    136.02x = 22,686.21
  5. Step 5: Solve for x
    x = 22,686.21/136.02
  6. Step 6: Final answer
    x = 166.79

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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.