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Finding the Fourth Proportional to 104.82, 157.02 and 81.90

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Solution

The fourth proportional to 104.82, 157.02 and 81.90 is: 122.69

Step by Step Solution

  1. Step 1: Write the proportion equation
    104.82 : 157.02 = 81.90 : x
  2. Step 2: Convert to fraction form
    104.82/157.02 = 81.90/x
  3. Step 3: Cross multiply
    104.82x = 157.02 × 81.90
  4. Step 4: Simplify right side
    104.82x = 12,859.94
  5. Step 5: Solve for x
    x = 12,859.94/104.82
  6. Step 6: Final answer
    x = 122.69

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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.