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Finding the Fourth Proportional to 84.08, 126.87 and 81.06

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Solution

The fourth proportional to 84.08, 126.87 and 81.06 is: 122.32

Step by Step Solution

  1. Step 1: Write the proportion equation
    84.08 : 126.87 = 81.06 : x
  2. Step 2: Convert to fraction form
    84.08/126.87 = 81.06/x
  3. Step 3: Cross multiply
    84.08x = 126.87 × 81.06
  4. Step 4: Simplify right side
    84.08x = 10,284.08
  5. Step 5: Solve for x
    x = 10,284.08/84.08
  6. Step 6: Final answer
    x = 122.32

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These problems maintain the same ratio (1.51) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.