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Finding the Fourth Proportional to 147,950, 204,171.72 and 80,882

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Solution

The fourth proportional to 147,950, 204,171.72 and 80,882 is: 111,617.55

Step by Step Solution

  1. Step 1: Write the proportion equation
    147,950 : 204,171.72 = 80,882 : x
  2. Step 2: Convert to fraction form
    147,950/204,171.72 = 80,882/x
  3. Step 3: Cross multiply
    147,950x = 204,171.72 × 80,882
  4. Step 4: Simplify right side
    147,950x = 16,513,817,057.04
  5. Step 5: Solve for x
    x = 16,513,817,057.04/147,950
  6. Step 6: Final answer
    x = 111,617.55

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These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.