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Finding the Fourth Proportional to 92.01, 126.94 and 65.78

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Solution

The fourth proportional to 92.01, 126.94 and 65.78 is: 90.75

Step by Step Solution

  1. Step 1: Write the proportion equation
    92.01 : 126.94 = 65.78 : x
  2. Step 2: Convert to fraction form
    92.01/126.94 = 65.78/x
  3. Step 3: Cross multiply
    92.01x = 126.94 × 65.78
  4. Step 4: Simplify right side
    92.01x = 8,350.27
  5. Step 5: Solve for x
    x = 8,350.27/92.01
  6. Step 6: Final answer
    x = 90.75

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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.