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Finding the Fourth Proportional to 123.72, 186.59 and 105.90

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Solution

The fourth proportional to 123.72, 186.59 and 105.90 is: 159.71

Step by Step Solution

  1. Step 1: Write the proportion equation
    123.72 : 186.59 = 105.90 : x
  2. Step 2: Convert to fraction form
    123.72/186.59 = 105.90/x
  3. Step 3: Cross multiply
    123.72x = 186.59 × 105.90
  4. Step 4: Simplify right side
    123.72x = 19,759.35
  5. Step 5: Solve for x
    x = 19,759.35/123.72
  6. Step 6: Final answer
    x = 159.71

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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.