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Finding the Fourth Proportional to 103.18, 142.41 and 61.75

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Solution

The fourth proportional to 103.18, 142.41 and 61.75 is: 85.23

Step by Step Solution

  1. Step 1: Write the proportion equation
    103.18 : 142.41 = 61.75 : x
  2. Step 2: Convert to fraction form
    103.18/142.41 = 61.75/x
  3. Step 3: Cross multiply
    103.18x = 142.41 × 61.75
  4. Step 4: Simplify right side
    103.18x = 8,793.82
  5. Step 5: Solve for x
    x = 8,793.82/103.18
  6. Step 6: Final answer
    x = 85.23

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.