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Finding the Fourth Proportional to 92.44, 137.92 and 78.92

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Solution

The fourth proportional to 92.44, 137.92 and 78.92 is: 117.75

Step by Step Solution

  1. Step 1: Write the proportion equation
    92.44 : 137.92 = 78.92 : x
  2. Step 2: Convert to fraction form
    92.44/137.92 = 78.92/x
  3. Step 3: Cross multiply
    92.44x = 137.92 × 78.92
  4. Step 4: Simplify right side
    92.44x = 10,884.65
  5. Step 5: Solve for x
    x = 10,884.65/92.44
  6. Step 6: Final answer
    x = 117.75

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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.