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Finding the Fourth Proportional to 104.30, 143.79 and 78.09

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Solution

The fourth proportional to 104.30, 143.79 and 78.09 is: 107.66

Step by Step Solution

  1. Step 1: Write the proportion equation
    104.30 : 143.79 = 78.09 : x
  2. Step 2: Convert to fraction form
    104.30/143.79 = 78.09/x
  3. Step 3: Cross multiply
    104.30x = 143.79 × 78.09
  4. Step 4: Simplify right side
    104.30x = 11,228.56
  5. Step 5: Solve for x
    x = 11,228.56/104.30
  6. Step 6: Final answer
    x = 107.66

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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.