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Finding the Fourth Proportional to 206,496.04, 309,743.10 and 136,358.60

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Solution

The fourth proportional to 206,496.04, 309,743.10 and 136,358.60 is: 204,537.27

Step by Step Solution

  1. Step 1: Write the proportion equation
    206,496.04 : 309,743.10 = 136,358.60 : x
  2. Step 2: Convert to fraction form
    206,496.04/309,743.10 = 136,358.60/x
  3. Step 3: Cross multiply
    206,496.04x = 309,743.10 × 136,358.60
  4. Step 4: Simplify right side
    206,496.04x = 42,236,135,475.66
  5. Step 5: Solve for x
    x = 42,236,135,475.66/206,496.04
  6. Step 6: Final answer
    x = 204,537.27

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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.