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Finding the Fourth Proportional to 103.87, 143.40 and 82.14

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Solution

The fourth proportional to 103.87, 143.40 and 82.14 is: 113.40

Step by Step Solution

  1. Step 1: Write the proportion equation
    103.87 : 143.40 = 82.14 : x
  2. Step 2: Convert to fraction form
    103.87/143.40 = 82.14/x
  3. Step 3: Cross multiply
    103.87x = 143.40 × 82.14
  4. Step 4: Simplify right side
    103.87x = 11,778.88
  5. Step 5: Solve for x
    x = 11,778.88/103.87
  6. Step 6: Final answer
    x = 113.40

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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.