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Finding the Fourth Proportional to 136.69, 205.96 and 121.95

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Solution

The fourth proportional to 136.69, 205.96 and 121.95 is: 183.75

Step by Step Solution

  1. Step 1: Write the proportion equation
    136.69 : 205.96 = 121.95 : x
  2. Step 2: Convert to fraction form
    136.69/205.96 = 121.95/x
  3. Step 3: Cross multiply
    136.69x = 205.96 × 121.95
  4. Step 4: Simplify right side
    136.69x = 25,117.29
  5. Step 5: Solve for x
    x = 25,117.29/136.69
  6. Step 6: Final answer
    x = 183.75

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Why These Related Problems?

These problems maintain the same ratio (1.51) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.