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Finding the Fourth Proportional to 202,229.20, 303,408.60 and 135,744.40

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Solution

The fourth proportional to 202,229.20, 303,408.60 and 135,744.40 is: 203,660.10

Step by Step Solution

  1. Step 1: Write the proportion equation
    202,229.20 : 303,408.60 = 135,744.40 : x
  2. Step 2: Convert to fraction form
    202,229.20/303,408.60 = 135,744.40/x
  3. Step 3: Cross multiply
    202,229.20x = 303,408.60 × 135,744.40
  4. Step 4: Simplify right side
    202,229.20x = 41,186,018,361.84
  5. Step 5: Solve for x
    x = 41,186,018,361.84/202,229.20
  6. Step 6: Final answer
    x = 203,660.10

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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.