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Finding the Fourth Proportional to 200,537.40, 300,806.10 and 161,171.40

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Solution

The fourth proportional to 200,537.40, 300,806.10 and 161,171.40 is: 241,757.10

Step by Step Solution

  1. Step 1: Write the proportion equation
    200,537.40 : 300,806.10 = 161,171.40 : x
  2. Step 2: Convert to fraction form
    200,537.40/300,806.10 = 161,171.40/x
  3. Step 3: Cross multiply
    200,537.40x = 300,806.10 × 161,171.40
  4. Step 4: Simplify right side
    200,537.40x = 48,481,340,265.54
  5. Step 5: Solve for x
    x = 48,481,340,265.54/200,537.40
  6. Step 6: Final answer
    x = 241,757.10

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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.