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Finding the Fourth Proportional to 104.73, 156.78 and 80.70

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Solution

The fourth proportional to 104.73, 156.78 and 80.70 is: 120.81

Step by Step Solution

  1. Step 1: Write the proportion equation
    104.73 : 156.78 = 80.70 : x
  2. Step 2: Convert to fraction form
    104.73/156.78 = 80.70/x
  3. Step 3: Cross multiply
    104.73x = 156.78 × 80.70
  4. Step 4: Simplify right side
    104.73x = 12,652.15
  5. Step 5: Solve for x
    x = 12,652.15/104.73
  6. Step 6: Final answer
    x = 120.81

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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.