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Finding the Fourth Proportional to 123.42, 186.09 and 113.34

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Solution

The fourth proportional to 123.42, 186.09 and 113.34 is: 170.89

Step by Step Solution

  1. Step 1: Write the proportion equation
    123.42 : 186.09 = 113.34 : x
  2. Step 2: Convert to fraction form
    123.42/186.09 = 113.34/x
  3. Step 3: Cross multiply
    123.42x = 186.09 × 113.34
  4. Step 4: Simplify right side
    123.42x = 21,091.44
  5. Step 5: Solve for x
    x = 21,091.44/123.42
  6. Step 6: Final answer
    x = 170.89

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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.