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Finding the Fourth Proportional to 201,919.82, 303,020.25 and 83,591.78

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Solution

The fourth proportional to 201,919.82, 303,020.25 and 83,591.78 is: 125,445.84

Step by Step Solution

  1. Step 1: Write the proportion equation
    201,919.82 : 303,020.25 = 83,591.78 : x
  2. Step 2: Convert to fraction form
    201,919.82/303,020.25 = 83,591.78/x
  3. Step 3: Cross multiply
    201,919.82x = 303,020.25 × 83,591.78
  4. Step 4: Simplify right side
    201,919.82x = 25,330,000,558.44
  5. Step 5: Solve for x
    x = 25,330,000,558.44/201,919.82
  6. Step 6: Final answer
    x = 125,445.84

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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.