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Finding the Fourth Proportional to 147,991, 204,227.58 and 80,923

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Solution

The fourth proportional to 147,991, 204,227.58 and 80,923 is: 111,673.74

Step by Step Solution

  1. Step 1: Write the proportion equation
    147,991 : 204,227.58 = 80,923 : x
  2. Step 2: Convert to fraction form
    147,991/204,227.58 = 80,923/x
  3. Step 3: Cross multiply
    147,991x = 204,227.58 × 80,923
  4. Step 4: Simplify right side
    147,991x = 16,526,708,456.34
  5. Step 5: Solve for x
    x = 16,526,708,456.34/147,991
  6. Step 6: Final answer
    x = 111,673.74

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Why These Related Problems?

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