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Finding the Fourth Proportional to 104.85, 157.02 and 50.78

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Solution

The fourth proportional to 104.85, 157.02 and 50.78 is: 76.04

Step by Step Solution

  1. Step 1: Write the proportion equation
    104.85 : 157.02 = 50.78 : x
  2. Step 2: Convert to fraction form
    104.85/157.02 = 50.78/x
  3. Step 3: Cross multiply
    104.85x = 157.02 × 50.78
  4. Step 4: Simplify right side
    104.85x = 7,972.69
  5. Step 5: Solve for x
    x = 7,972.69/104.85
  6. Step 6: Final answer
    x = 76.04

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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.