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Finding the Fourth Proportional to 82.73, 123.42 and 73.01

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Solution

The fourth proportional to 82.73, 123.42 and 73.01 is: 108.92

Step by Step Solution

  1. Step 1: Write the proportion equation
    82.73 : 123.42 = 73.01 : x
  2. Step 2: Convert to fraction form
    82.73/123.42 = 73.01/x
  3. Step 3: Cross multiply
    82.73x = 123.42 × 73.01
  4. Step 4: Simplify right side
    82.73x = 9,010.89
  5. Step 5: Solve for x
    x = 9,010.89/82.73
  6. Step 6: Final answer
    x = 108.92

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These problems maintain the same ratio (1.49) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.