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Finding the Fourth Proportional to 104.10, 143.74 and 82.36

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Solution

The fourth proportional to 104.10, 143.74 and 82.36 is: 113.73

Step by Step Solution

  1. Step 1: Write the proportion equation
    104.10 : 143.74 = 82.36 : x
  2. Step 2: Convert to fraction form
    104.10/143.74 = 82.36/x
  3. Step 3: Cross multiply
    104.10x = 143.74 × 82.36
  4. Step 4: Simplify right side
    104.10x = 11,838.43
  5. Step 5: Solve for x
    x = 11,838.43/104.10
  6. Step 6: Final answer
    x = 113.73

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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.