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Finding the Fourth Proportional to 201,188.20, 301,782.30 and 68,072.80

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Solution

The fourth proportional to 201,188.20, 301,782.30 and 68,072.80 is: 102,109.20

Step by Step Solution

  1. Step 1: Write the proportion equation
    201,188.20 : 301,782.30 = 68,072.80 : x
  2. Step 2: Convert to fraction form
    201,188.20/301,782.30 = 68,072.80/x
  3. Step 3: Cross multiply
    201,188.20x = 301,782.30 × 68,072.80
  4. Step 4: Simplify right side
    201,188.20x = 20,543,166,151.44
  5. Step 5: Solve for x
    x = 20,543,166,151.44/201,188.20
  6. Step 6: Final answer
    x = 102,109.20

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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.