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Finding the Fourth Proportional to 104.24, 155.76 and 81.36

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Solution

The fourth proportional to 104.24, 155.76 and 81.36 is: 121.57

Step by Step Solution

  1. Step 1: Write the proportion equation
    104.24 : 155.76 = 81.36 : x
  2. Step 2: Convert to fraction form
    104.24/155.76 = 81.36/x
  3. Step 3: Cross multiply
    104.24x = 155.76 × 81.36
  4. Step 4: Simplify right side
    104.24x = 12,672.63
  5. Step 5: Solve for x
    x = 12,672.63/104.24
  6. Step 6: Final answer
    x = 121.57

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Why These Related Problems?

These problems maintain the same ratio (1.49) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.