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Finding the Fourth Proportional to 201,242.52, 301,950 and 68,136.84

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Solution

The fourth proportional to 201,242.52, 301,950 and 68,136.84 is: 102,234.45

Step by Step Solution

  1. Step 1: Write the proportion equation
    201,242.52 : 301,950 = 68,136.84 : x
  2. Step 2: Convert to fraction form
    201,242.52/301,950 = 68,136.84/x
  3. Step 3: Cross multiply
    201,242.52x = 301,950 × 68,136.84
  4. Step 4: Simplify right side
    201,242.52x = 20,573,918,838
  5. Step 5: Solve for x
    x = 20,573,918,838/201,242.52
  6. Step 6: Final answer
    x = 102,234.45

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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.