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Finding the Fourth Proportional to 92.44, 127.50 and 77.92

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Solution

The fourth proportional to 92.44, 127.50 and 77.92 is: 107.47

Step by Step Solution

  1. Step 1: Write the proportion equation
    92.44 : 127.50 = 77.92 : x
  2. Step 2: Convert to fraction form
    92.44/127.50 = 77.92/x
  3. Step 3: Cross multiply
    92.44x = 127.50 × 77.92
  4. Step 4: Simplify right side
    92.44x = 9,934.80
  5. Step 5: Solve for x
    x = 9,934.80/92.44
  6. Step 6: Final answer
    x = 107.47

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.