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Finding the Fourth Proportional to 104.70, 144.36 and 78.78

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Solution

The fourth proportional to 104.70, 144.36 and 78.78 is: 108.62

Step by Step Solution

  1. Step 1: Write the proportion equation
    104.70 : 144.36 = 78.78 : x
  2. Step 2: Convert to fraction form
    104.70/144.36 = 78.78/x
  3. Step 3: Cross multiply
    104.70x = 144.36 × 78.78
  4. Step 4: Simplify right side
    104.70x = 11,372.68
  5. Step 5: Solve for x
    x = 11,372.68/104.70
  6. Step 6: Final answer
    x = 108.62

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.