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Finding the Fourth Proportional to 202,663, 303,994.50 and 54,919

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Solution

The fourth proportional to 202,663, 303,994.50 and 54,919 is: 82,378.50

Step by Step Solution

  1. Step 1: Write the proportion equation
    202,663 : 303,994.50 = 54,919 : x
  2. Step 2: Convert to fraction form
    202,663/303,994.50 = 54,919/x
  3. Step 3: Cross multiply
    202,663x = 303,994.50 × 54,919
  4. Step 4: Simplify right side
    202,663x = 16,695,073,945.50
  5. Step 5: Solve for x
    x = 16,695,073,945.50/202,663
  6. Step 6: Final answer
    x = 82,378.50

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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.