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Finding the Fourth Proportional to 92.33, 127.74 and 78.47

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Solution

The fourth proportional to 92.33, 127.74 and 78.47 is: 108.56

Step by Step Solution

  1. Step 1: Write the proportion equation
    92.33 : 127.74 = 78.47 : x
  2. Step 2: Convert to fraction form
    92.33/127.74 = 78.47/x
  3. Step 3: Cross multiply
    92.33x = 127.74 × 78.47
  4. Step 4: Simplify right side
    92.33x = 10,023.12
  5. Step 5: Solve for x
    x = 10,023.12/92.33
  6. Step 6: Final answer
    x = 108.56

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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.