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Finding the Fourth Proportional to 86.11, 128.41 and 84.04

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Solution

The fourth proportional to 86.11, 128.41 and 84.04 is: 125.32

Step by Step Solution

  1. Step 1: Write the proportion equation
    86.11 : 128.41 = 84.04 : x
  2. Step 2: Convert to fraction form
    86.11/128.41 = 84.04/x
  3. Step 3: Cross multiply
    86.11x = 128.41 × 84.04
  4. Step 4: Simplify right side
    86.11x = 10,791.58
  5. Step 5: Solve for x
    x = 10,791.58/86.11
  6. Step 6: Final answer
    x = 125.32

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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.