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Finding the Fourth Proportional to 81.41, 121.30 and 78.37

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Solution

The fourth proportional to 81.41, 121.30 and 78.37 is: 116.77

Step by Step Solution

  1. Step 1: Write the proportion equation
    81.41 : 121.30 = 78.37 : x
  2. Step 2: Convert to fraction form
    81.41/121.30 = 78.37/x
  3. Step 3: Cross multiply
    81.41x = 121.30 × 78.37
  4. Step 4: Simplify right side
    81.41x = 9,505.78
  5. Step 5: Solve for x
    x = 9,505.78/81.41
  6. Step 6: Final answer
    x = 116.77

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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.