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Finding the Fourth Proportional to 201,354.45, 301,843.05 and 68,141.45

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Solution

The fourth proportional to 201,354.45, 301,843.05 and 68,141.45 is: 102,148.34

Step by Step Solution

  1. Step 1: Write the proportion equation
    201,354.45 : 301,843.05 = 68,141.45 : x
  2. Step 2: Convert to fraction form
    201,354.45/301,843.05 = 68,141.45/x
  3. Step 3: Cross multiply
    201,354.45x = 301,843.05 × 68,141.45
  4. Step 4: Simplify right side
    201,354.45x = 20,568,023,099.42
  5. Step 5: Solve for x
    x = 20,568,023,099.42/201,354.45
  6. Step 6: Final answer
    x = 102,148.34

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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.