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Finding the Fourth Proportional to 201,222.70, 301,834.05 and 68,107.30

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Solution

The fourth proportional to 201,222.70, 301,834.05 and 68,107.30 is: 102,160.95

Step by Step Solution

  1. Step 1: Write the proportion equation
    201,222.70 : 301,834.05 = 68,107.30 : x
  2. Step 2: Convert to fraction form
    201,222.70/301,834.05 = 68,107.30/x
  3. Step 3: Cross multiply
    201,222.70x = 301,834.05 × 68,107.30
  4. Step 4: Simplify right side
    201,222.70x = 20,557,102,193.57
  5. Step 5: Solve for x
    x = 20,557,102,193.57/201,222.70
  6. Step 6: Final answer
    x = 102,160.95

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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.