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Finding the Fourth Proportional to 201,229.56, 301,904.64 and 81,224.73

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Solution

The fourth proportional to 201,229.56, 301,904.64 and 81,224.73 is: 121,861.43

Step by Step Solution

  1. Step 1: Write the proportion equation
    201,229.56 : 301,904.64 = 81,224.73 : x
  2. Step 2: Convert to fraction form
    201,229.56/301,904.64 = 81,224.73/x
  3. Step 3: Cross multiply
    201,229.56x = 301,904.64 × 81,224.73
  4. Step 4: Simplify right side
    201,229.56x = 24,522,122,869.75
  5. Step 5: Solve for x
    x = 24,522,122,869.75/201,229.56
  6. Step 6: Final answer
    x = 121,861.43

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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.