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Finding the Fourth Proportional to 104.57, 144.31 and 67.82

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Solution

The fourth proportional to 104.57, 144.31 and 67.82 is: 93.60

Step by Step Solution

  1. Step 1: Write the proportion equation
    104.57 : 144.31 = 67.82 : x
  2. Step 2: Convert to fraction form
    104.57/144.31 = 67.82/x
  3. Step 3: Cross multiply
    104.57x = 144.31 × 67.82
  4. Step 4: Simplify right side
    104.57x = 9,787.10
  5. Step 5: Solve for x
    x = 9,787.10/104.57
  6. Step 6: Final answer
    x = 93.60

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