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Finding the Fourth Proportional to 201,711.78, 302,595.40 and 68,556.30

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Solution

The fourth proportional to 201,711.78, 302,595.40 and 68,556.30 is: 102,843.87

Step by Step Solution

  1. Step 1: Write the proportion equation
    201,711.78 : 302,595.40 = 68,556.30 : x
  2. Step 2: Convert to fraction form
    201,711.78/302,595.40 = 68,556.30/x
  3. Step 3: Cross multiply
    201,711.78x = 302,595.40 × 68,556.30
  4. Step 4: Simplify right side
    201,711.78x = 20,744,821,021.02
  5. Step 5: Solve for x
    x = 20,744,821,021.02/201,711.78
  6. Step 6: Final answer
    x = 102,843.87

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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.