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Finding the Fourth Proportional to 103.89, 143.33 and 81.97

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Solution

The fourth proportional to 103.89, 143.33 and 81.97 is: 113.08

Step by Step Solution

  1. Step 1: Write the proportion equation
    103.89 : 143.33 = 81.97 : x
  2. Step 2: Convert to fraction form
    103.89/143.33 = 81.97/x
  3. Step 3: Cross multiply
    103.89x = 143.33 × 81.97
  4. Step 4: Simplify right side
    103.89x = 11,748.35
  5. Step 5: Solve for x
    x = 11,748.35/103.89
  6. Step 6: Final answer
    x = 113.08

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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.