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Finding the Fourth Proportional to 123.97, 187.36 and 121.84

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Solution

The fourth proportional to 123.97, 187.36 and 121.84 is: 184.14

Step by Step Solution

  1. Step 1: Write the proportion equation
    123.97 : 187.36 = 121.84 : x
  2. Step 2: Convert to fraction form
    123.97/187.36 = 121.84/x
  3. Step 3: Cross multiply
    123.97x = 187.36 × 121.84
  4. Step 4: Simplify right side
    123.97x = 22,827.94
  5. Step 5: Solve for x
    x = 22,827.94/123.97
  6. Step 6: Final answer
    x = 184.14

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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.