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Finding the Fourth Proportional to 92.91, 138.78 and 77.71

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Solution

The fourth proportional to 92.91, 138.78 and 77.71 is: 116.07

Step by Step Solution

  1. Step 1: Write the proportion equation
    92.91 : 138.78 = 77.71 : x
  2. Step 2: Convert to fraction form
    92.91/138.78 = 77.71/x
  3. Step 3: Cross multiply
    92.91x = 138.78 × 77.71
  4. Step 4: Simplify right side
    92.91x = 10,784.21
  5. Step 5: Solve for x
    x = 10,784.21/92.91
  6. Step 6: Final answer
    x = 116.07

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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.