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Finding the Fourth Proportional to 204,907.80, 307,556.10 and 126,175.80

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Solution

The fourth proportional to 204,907.80, 307,556.10 and 126,175.80 is: 189,383.41

Step by Step Solution

  1. Step 1: Write the proportion equation
    204,907.80 : 307,556.10 = 126,175.80 : x
  2. Step 2: Convert to fraction form
    204,907.80/307,556.10 = 126,175.80/x
  3. Step 3: Cross multiply
    204,907.80x = 307,556.10 × 126,175.80
  4. Step 4: Simplify right side
    204,907.80x = 38,806,136,962.38
  5. Step 5: Solve for x
    x = 38,806,136,962.38/204,907.80
  6. Step 6: Final answer
    x = 189,383.41

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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.