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Finding the Fourth Proportional to 136.42, 188.04 and 92.68

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Solution

The fourth proportional to 136.42, 188.04 and 92.68 is: 127.75

Step by Step Solution

  1. Step 1: Write the proportion equation
    136.42 : 188.04 = 92.68 : x
  2. Step 2: Convert to fraction form
    136.42/188.04 = 92.68/x
  3. Step 3: Cross multiply
    136.42x = 188.04 × 92.68
  4. Step 4: Simplify right side
    136.42x = 17,426.61
  5. Step 5: Solve for x
    x = 17,426.61/136.42
  6. Step 6: Final answer
    x = 127.75

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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.