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Finding the Fourth Proportional to 82.33, 123.21 and 74.83

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Solution

The fourth proportional to 82.33, 123.21 and 74.83 is: 111.99

Step by Step Solution

  1. Step 1: Write the proportion equation
    82.33 : 123.21 = 74.83 : x
  2. Step 2: Convert to fraction form
    82.33/123.21 = 74.83/x
  3. Step 3: Cross multiply
    82.33x = 123.21 × 74.83
  4. Step 4: Simplify right side
    82.33x = 9,219.80
  5. Step 5: Solve for x
    x = 9,219.80/82.33
  6. Step 6: Final answer
    x = 111.99

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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.