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Finding the Fourth Proportional to 201,375.57, 301,945.90 and 155,766.09

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Solution

The fourth proportional to 201,375.57, 301,945.90 and 155,766.09 is: 233,558.28

Step by Step Solution

  1. Step 1: Write the proportion equation
    201,375.57 : 301,945.90 = 155,766.09 : x
  2. Step 2: Convert to fraction form
    201,375.57/301,945.90 = 155,766.09/x
  3. Step 3: Cross multiply
    201,375.57x = 301,945.90 × 155,766.09
  4. Step 4: Simplify right side
    201,375.57x = 47,032,932,234.53
  5. Step 5: Solve for x
    x = 47,032,932,234.53/201,375.57
  6. Step 6: Final answer
    x = 233,558.28

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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.