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Finding the Fourth Proportional to 92.52, 127.92 and 78.84

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Solution

The fourth proportional to 92.52, 127.92 and 78.84 is: 109.01

Step by Step Solution

  1. Step 1: Write the proportion equation
    92.52 : 127.92 = 78.84 : x
  2. Step 2: Convert to fraction form
    92.52/127.92 = 78.84/x
  3. Step 3: Cross multiply
    92.52x = 127.92 × 78.84
  4. Step 4: Simplify right side
    92.52x = 10,085.21
  5. Step 5: Solve for x
    x = 10,085.21/92.52
  6. Step 6: Final answer
    x = 109.01

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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.