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Finding the Fourth Proportional to 121.72, 183.97 and 121.72

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Solution

The fourth proportional to 121.72, 183.97 and 121.72 is: 183.97

Step by Step Solution

  1. Step 1: Write the proportion equation
    121.72 : 183.97 = 121.72 : x
  2. Step 2: Convert to fraction form
    121.72/183.97 = 121.72/x
  3. Step 3: Cross multiply
    121.72x = 183.97 × 121.72
  4. Step 4: Simplify right side
    121.72x = 22,392.83
  5. Step 5: Solve for x
    x = 22,392.83/121.72
  6. Step 6: Final answer
    x = 183.97

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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.