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Finding the Fourth Proportional to 78.89, 118.56 and 71.19

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Solution

The fourth proportional to 78.89, 118.56 and 71.19 is: 106.99

Step by Step Solution

  1. Step 1: Write the proportion equation
    78.89 : 118.56 = 71.19 : x
  2. Step 2: Convert to fraction form
    78.89/118.56 = 71.19/x
  3. Step 3: Cross multiply
    78.89x = 118.56 × 71.19
  4. Step 4: Simplify right side
    78.89x = 8,440.29
  5. Step 5: Solve for x
    x = 8,440.29/78.89
  6. Step 6: Final answer
    x = 106.99

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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.