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Finding the Fourth Proportional to 202,819.82, 304,230.26 and 82,876.78

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Solution

The fourth proportional to 202,819.82, 304,230.26 and 82,876.78 is: 124,315.39

Step by Step Solution

  1. Step 1: Write the proportion equation
    202,819.82 : 304,230.26 = 82,876.78 : x
  2. Step 2: Convert to fraction form
    202,819.82/304,230.26 = 82,876.78/x
  3. Step 3: Cross multiply
    202,819.82x = 304,230.26 × 82,876.78
  4. Step 4: Simplify right side
    202,819.82x = 25,213,624,327.36
  5. Step 5: Solve for x
    x = 25,213,624,327.36/202,819.82
  6. Step 6: Final answer
    x = 124,315.39

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.