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Finding the Fourth Proportional to 136.81, 188.66 and 107.25

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Solution

The fourth proportional to 136.81, 188.66 and 107.25 is: 147.89

Step by Step Solution

  1. Step 1: Write the proportion equation
    136.81 : 188.66 = 107.25 : x
  2. Step 2: Convert to fraction form
    136.81/188.66 = 107.25/x
  3. Step 3: Cross multiply
    136.81x = 188.66 × 107.25
  4. Step 4: Simplify right side
    136.81x = 20,233.25
  5. Step 5: Solve for x
    x = 20,233.25/136.81
  6. Step 6: Final answer
    x = 147.89

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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.