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Finding the Fourth Proportional to 201,694.20, 302,606.10 and 135,209.40

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Solution

The fourth proportional to 201,694.20, 302,606.10 and 135,209.40 is: 202,857.54

Step by Step Solution

  1. Step 1: Write the proportion equation
    201,694.20 : 302,606.10 = 135,209.40 : x
  2. Step 2: Convert to fraction form
    201,694.20/302,606.10 = 135,209.40/x
  3. Step 3: Cross multiply
    201,694.20x = 302,606.10 × 135,209.40
  4. Step 4: Simplify right side
    201,694.20x = 40,915,189,217.34
  5. Step 5: Solve for x
    x = 40,915,189,217.34/201,694.20
  6. Step 6: Final answer
    x = 202,857.54

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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.