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Finding the Fourth Proportional to 203,774.10, 305,661.15 and 132,915.30

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Solution

The fourth proportional to 203,774.10, 305,661.15 and 132,915.30 is: 199,372.95

Step by Step Solution

  1. Step 1: Write the proportion equation
    203,774.10 : 305,661.15 = 132,915.30 : x
  2. Step 2: Convert to fraction form
    203,774.10/305,661.15 = 132,915.30/x
  3. Step 3: Cross multiply
    203,774.10x = 305,661.15 × 132,915.30
  4. Step 4: Simplify right side
    203,774.10x = 40,627,043,450.60
  5. Step 5: Solve for x
    x = 40,627,043,450.60/203,774.10
  6. Step 6: Final answer
    x = 199,372.95

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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.