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Finding the Fourth Proportional to 104.24, 143.52 and 78.32

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Solution

The fourth proportional to 104.24, 143.52 and 78.32 is: 107.83

Step by Step Solution

  1. Step 1: Write the proportion equation
    104.24 : 143.52 = 78.32 : x
  2. Step 2: Convert to fraction form
    104.24/143.52 = 78.32/x
  3. Step 3: Cross multiply
    104.24x = 143.52 × 78.32
  4. Step 4: Simplify right side
    104.24x = 11,240.49
  5. Step 5: Solve for x
    x = 11,240.49/104.24
  6. Step 6: Final answer
    x = 107.83

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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.