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Finding the Fourth Proportional to 94.36, 140.85 and 78.08

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Solution

The fourth proportional to 94.36, 140.85 and 78.08 is: 116.55

Step by Step Solution

  1. Step 1: Write the proportion equation
    94.36 : 140.85 = 78.08 : x
  2. Step 2: Convert to fraction form
    94.36/140.85 = 78.08/x
  3. Step 3: Cross multiply
    94.36x = 140.85 × 78.08
  4. Step 4: Simplify right side
    94.36x = 10,997.57
  5. Step 5: Solve for x
    x = 10,997.57/94.36
  6. Step 6: Final answer
    x = 116.55

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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.