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Finding the Fourth Proportional to 147,902.63, 204,105.62 and 80,834.63

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Solution

The fourth proportional to 147,902.63, 204,105.62 and 80,834.63 is: 111,551.78

Step by Step Solution

  1. Step 1: Write the proportion equation
    147,902.63 : 204,105.62 = 80,834.63 : x
  2. Step 2: Convert to fraction form
    147,902.63/204,105.62 = 80,834.63/x
  3. Step 3: Cross multiply
    147,902.63x = 204,105.62 × 80,834.63
  4. Step 4: Simplify right side
    147,902.63x = 16,498,801,455.18
  5. Step 5: Solve for x
    x = 16,498,801,455.18/147,902.63
  6. Step 6: Final answer
    x = 111,551.78

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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.