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Finding the Fourth Proportional to 201,805.20, 302,578.20 and 83,523.60

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Solution

The fourth proportional to 201,805.20, 302,578.20 and 83,523.60 is: 125,231.76

Step by Step Solution

  1. Step 1: Write the proportion equation
    201,805.20 : 302,578.20 = 83,523.60 : x
  2. Step 2: Convert to fraction form
    201,805.20/302,578.20 = 83,523.60/x
  3. Step 3: Cross multiply
    201,805.20x = 302,578.20 × 83,523.60
  4. Step 4: Simplify right side
    201,805.20x = 25,272,420,545.52
  5. Step 5: Solve for x
    x = 25,272,420,545.52/201,805.20
  6. Step 6: Final answer
    x = 125,231.76

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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.