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Finding the Fourth Proportional to 202,512.60, 303,768.90 and 84,414.60

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Solution

The fourth proportional to 202,512.60, 303,768.90 and 84,414.60 is: 126,621.90

Step by Step Solution

  1. Step 1: Write the proportion equation
    202,512.60 : 303,768.90 = 84,414.60 : x
  2. Step 2: Convert to fraction form
    202,512.60/303,768.90 = 84,414.60/x
  3. Step 3: Cross multiply
    202,512.60x = 303,768.90 × 84,414.60
  4. Step 4: Simplify right side
    202,512.60x = 25,642,530,185.94
  5. Step 5: Solve for x
    x = 25,642,530,185.94/202,512.60
  6. Step 6: Final answer
    x = 126,621.90

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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.