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Finding the Fourth Proportional to 86.26, 130.05 and 81.04

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Solution

The fourth proportional to 86.26, 130.05 and 81.04 is: 122.18

Step by Step Solution

  1. Step 1: Write the proportion equation
    86.26 : 130.05 = 81.04 : x
  2. Step 2: Convert to fraction form
    86.26/130.05 = 81.04/x
  3. Step 3: Cross multiply
    86.26x = 130.05 × 81.04
  4. Step 4: Simplify right side
    86.26x = 10,539.25
  5. Step 5: Solve for x
    x = 10,539.25/86.26
  6. Step 6: Final answer
    x = 122.18

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Why These Related Problems?

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