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Finding the Fourth Proportional to 84.41, 126.05 and 73.61

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Solution

The fourth proportional to 84.41, 126.05 and 73.61 is: 109.92

Step by Step Solution

  1. Step 1: Write the proportion equation
    84.41 : 126.05 = 73.61 : x
  2. Step 2: Convert to fraction form
    84.41/126.05 = 73.61/x
  3. Step 3: Cross multiply
    84.41x = 126.05 × 73.61
  4. Step 4: Simplify right side
    84.41x = 9,278.09
  5. Step 5: Solve for x
    x = 9,278.09/84.41
  6. Step 6: Final answer
    x = 109.92

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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.