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Finding the Fourth Proportional to 92.38, 127.49 and 76.81

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Solution

The fourth proportional to 92.38, 127.49 and 76.81 is: 106.01

Step by Step Solution

  1. Step 1: Write the proportion equation
    92.38 : 127.49 = 76.81 : x
  2. Step 2: Convert to fraction form
    92.38/127.49 = 76.81/x
  3. Step 3: Cross multiply
    92.38x = 127.49 × 76.81
  4. Step 4: Simplify right side
    92.38x = 9,792.76
  5. Step 5: Solve for x
    x = 9,792.76/92.38
  6. Step 6: Final answer
    x = 106.01

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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.