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Finding the Fourth Proportional to 78.72, 118.14 and 67.20

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Solution

The fourth proportional to 78.72, 118.14 and 67.20 is: 100.85

Step by Step Solution

  1. Step 1: Write the proportion equation
    78.72 : 118.14 = 67.20 : x
  2. Step 2: Convert to fraction form
    78.72/118.14 = 67.20/x
  3. Step 3: Cross multiply
    78.72x = 118.14 × 67.20
  4. Step 4: Simplify right side
    78.72x = 7,939.01
  5. Step 5: Solve for x
    x = 7,939.01/78.72
  6. Step 6: Final answer
    x = 100.85

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.