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Finding the Fourth Proportional to 92.19, 126.60 and 77.61

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Solution

The fourth proportional to 92.19, 126.60 and 77.61 is: 106.58

Step by Step Solution

  1. Step 1: Write the proportion equation
    92.19 : 126.60 = 77.61 : x
  2. Step 2: Convert to fraction form
    92.19/126.60 = 77.61/x
  3. Step 3: Cross multiply
    92.19x = 126.60 × 77.61
  4. Step 4: Simplify right side
    92.19x = 9,825.43
  5. Step 5: Solve for x
    x = 9,825.43/92.19
  6. Step 6: Final answer
    x = 106.58

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Why These Related Problems?

These problems maintain the same ratio (1.37) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.