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Finding the Fourth Proportional to 83.89, 126.46 and 78.31

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Solution

The fourth proportional to 83.89, 126.46 and 78.31 is: 118.05

Step by Step Solution

  1. Step 1: Write the proportion equation
    83.89 : 126.46 = 78.31 : x
  2. Step 2: Convert to fraction form
    83.89/126.46 = 78.31/x
  3. Step 3: Cross multiply
    83.89x = 126.46 × 78.31
  4. Step 4: Simplify right side
    83.89x = 9,902.69
  5. Step 5: Solve for x
    x = 9,902.69/83.89
  6. Step 6: Final answer
    x = 118.05

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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.