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Finding the Fourth Proportional to 94.34, 140.82 and 86.65

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Solution

The fourth proportional to 94.34, 140.82 and 86.65 is: 129.34

Step by Step Solution

  1. Step 1: Write the proportion equation
    94.34 : 140.82 = 86.65 : x
  2. Step 2: Convert to fraction form
    94.34/140.82 = 86.65/x
  3. Step 3: Cross multiply
    94.34x = 140.82 × 86.65
  4. Step 4: Simplify right side
    94.34x = 12,202.05
  5. Step 5: Solve for x
    x = 12,202.05/94.34
  6. Step 6: Final answer
    x = 129.34

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Why These Related Problems?

These problems maintain the same ratio (1.49) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.