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Finding the Fourth Proportional to 123.75, 186.57 and 122.13

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Solution

The fourth proportional to 123.75, 186.57 and 122.13 is: 184.13

Step by Step Solution

  1. Step 1: Write the proportion equation
    123.75 : 186.57 = 122.13 : x
  2. Step 2: Convert to fraction form
    123.75/186.57 = 122.13/x
  3. Step 3: Cross multiply
    123.75x = 186.57 × 122.13
  4. Step 4: Simplify right side
    123.75x = 22,785.79
  5. Step 5: Solve for x
    x = 22,785.79/123.75
  6. Step 6: Final answer
    x = 184.13

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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.