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Finding the Fourth Proportional to 202,907.20, 303,704.70 and 143,858.20

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Solution

The fourth proportional to 202,907.20, 303,704.70 and 143,858.20 is: 215,322.13

Step by Step Solution

  1. Step 1: Write the proportion equation
    202,907.20 : 303,704.70 = 143,858.20 : x
  2. Step 2: Convert to fraction form
    202,907.20/303,704.70 = 143,858.20/x
  3. Step 3: Cross multiply
    202,907.20x = 303,704.70 × 143,858.20
  4. Step 4: Simplify right side
    202,907.20x = 43,690,411,473.54
  5. Step 5: Solve for x
    x = 43,690,411,473.54/202,907.20
  6. Step 6: Final answer
    x = 215,322.13

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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.