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Finding the Fourth Proportional to 201,137.70, 301,617.45 and 67,981.80

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Solution

The fourth proportional to 201,137.70, 301,617.45 and 67,981.80 is: 101,942.59

Step by Step Solution

  1. Step 1: Write the proportion equation
    201,137.70 : 301,617.45 = 67,981.80 : x
  2. Step 2: Convert to fraction form
    201,137.70/301,617.45 = 67,981.80/x
  3. Step 3: Cross multiply
    201,137.70x = 301,617.45 × 67,981.80
  4. Step 4: Simplify right side
    201,137.70x = 20,504,497,162.41
  5. Step 5: Solve for x
    x = 20,504,497,162.41/201,137.70
  6. Step 6: Final answer
    x = 101,942.59

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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.