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Finding the Fourth Proportional to 104.47, 156.55 and 81.22

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Solution

The fourth proportional to 104.47, 156.55 and 81.22 is: 121.72

Step by Step Solution

  1. Step 1: Write the proportion equation
    104.47 : 156.55 = 81.22 : x
  2. Step 2: Convert to fraction form
    104.47/156.55 = 81.22/x
  3. Step 3: Cross multiply
    104.47x = 156.55 × 81.22
  4. Step 4: Simplify right side
    104.47x = 12,715.59
  5. Step 5: Solve for x
    x = 12,715.59/104.47
  6. Step 6: Final answer
    x = 121.72

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.