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Finding the Fourth Proportional to 82,171.13, 123,173.65 and 32,231.66

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Solution

The fourth proportional to 82,171.13, 123,173.65 and 32,231.66 is: 48,314.92

Step by Step Solution

  1. Step 1: Write the proportion equation
    82,171.13 : 123,173.65 = 32,231.66 : x
  2. Step 2: Convert to fraction form
    82,171.13/123,173.65 = 32,231.66/x
  3. Step 3: Cross multiply
    82,171.13x = 123,173.65 × 32,231.66
  4. Step 4: Simplify right side
    82,171.13x = 3,970,091,435.11
  5. Step 5: Solve for x
    x = 3,970,091,435.11/82,171.13
  6. Step 6: Final answer
    x = 48,314.92

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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.