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Finding the Fourth Proportional to 202,022.90, 303,362.40 and 135,756.80

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Solution

The fourth proportional to 202,022.90, 303,362.40 and 135,756.80 is: 203,855.65

Step by Step Solution

  1. Step 1: Write the proportion equation
    202,022.90 : 303,362.40 = 135,756.80 : x
  2. Step 2: Convert to fraction form
    202,022.90/303,362.40 = 135,756.80/x
  3. Step 3: Cross multiply
    202,022.90x = 303,362.40 × 135,756.80
  4. Step 4: Simplify right side
    202,022.90x = 41,183,508,664.32
  5. Step 5: Solve for x
    x = 41,183,508,664.32/202,022.90
  6. Step 6: Final answer
    x = 203,855.65

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.