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Finding the Fourth Proportional to 82.09, 123.29 and 41.59

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Solution

The fourth proportional to 82.09, 123.29 and 41.59 is: 62.46

Step by Step Solution

  1. Step 1: Write the proportion equation
    82.09 : 123.29 = 41.59 : x
  2. Step 2: Convert to fraction form
    82.09/123.29 = 41.59/x
  3. Step 3: Cross multiply
    82.09x = 123.29 × 41.59
  4. Step 4: Simplify right side
    82.09x = 5,126.81
  5. Step 5: Solve for x
    x = 5,126.81/82.09
  6. Step 6: Final answer
    x = 62.46

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.