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Finding the Fourth Proportional to 202,190.70, 303,350.85 and 135,705.90

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Solution

The fourth proportional to 202,190.70, 303,350.85 and 135,705.90 is: 203,602.34

Step by Step Solution

  1. Step 1: Write the proportion equation
    202,190.70 : 303,350.85 = 135,705.90 : x
  2. Step 2: Convert to fraction form
    202,190.70/303,350.85 = 135,705.90/x
  3. Step 3: Cross multiply
    202,190.70x = 303,350.85 × 135,705.90
  4. Step 4: Simplify right side
    202,190.70x = 41,166,500,115.02
  5. Step 5: Solve for x
    x = 41,166,500,115.02/202,190.70
  6. Step 6: Final answer
    x = 203,602.34

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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.