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Finding the Fourth Proportional to 82.51, 124.43 and 81.09

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Solution

The fourth proportional to 82.51, 124.43 and 81.09 is: 122.29

Step by Step Solution

  1. Step 1: Write the proportion equation
    82.51 : 124.43 = 81.09 : x
  2. Step 2: Convert to fraction form
    82.51/124.43 = 81.09/x
  3. Step 3: Cross multiply
    82.51x = 124.43 × 81.09
  4. Step 4: Simplify right side
    82.51x = 10,090.03
  5. Step 5: Solve for x
    x = 10,090.03/82.51
  6. Step 6: Final answer
    x = 122.29

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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.