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Finding the Fourth Proportional to 78.25, 107.98 and 59.91

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Solution

The fourth proportional to 78.25, 107.98 and 59.91 is: 82.68

Step by Step Solution

  1. Step 1: Write the proportion equation
    78.25 : 107.98 = 59.91 : x
  2. Step 2: Convert to fraction form
    78.25/107.98 = 59.91/x
  3. Step 3: Cross multiply
    78.25x = 107.98 × 59.91
  4. Step 4: Simplify right side
    78.25x = 6,469.78
  5. Step 5: Solve for x
    x = 6,469.78/78.25
  6. Step 6: Final answer
    x = 82.68

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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.