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Finding the Fourth Proportional to 78.36, 118.12 and 67.61

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Solution

The fourth proportional to 78.36, 118.12 and 67.61 is: 101.92

Step by Step Solution

  1. Step 1: Write the proportion equation
    78.36 : 118.12 = 67.61 : x
  2. Step 2: Convert to fraction form
    78.36/118.12 = 67.61/x
  3. Step 3: Cross multiply
    78.36x = 118.12 × 67.61
  4. Step 4: Simplify right side
    78.36x = 7,986.09
  5. Step 5: Solve for x
    x = 7,986.09/78.36
  6. Step 6: Final answer
    x = 101.92

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These problems maintain the same ratio (1.51) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.