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Finding the Fourth Proportional to 103.42, 142.19 and 92.25

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Solution

The fourth proportional to 103.42, 142.19 and 92.25 is: 126.83

Step by Step Solution

  1. Step 1: Write the proportion equation
    103.42 : 142.19 = 92.25 : x
  2. Step 2: Convert to fraction form
    103.42/142.19 = 92.25/x
  3. Step 3: Cross multiply
    103.42x = 142.19 × 92.25
  4. Step 4: Simplify right side
    103.42x = 13,116.80
  5. Step 5: Solve for x
    x = 13,116.80/103.42
  6. Step 6: Final answer
    x = 126.83

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Why These Related Problems?

These problems maintain the same ratio (1.37) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.