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Finding the Fourth Proportional to 203,916.30, 305,874.45 and 154,149.90

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Solution

The fourth proportional to 203,916.30, 305,874.45 and 154,149.90 is: 231,224.85

Step by Step Solution

  1. Step 1: Write the proportion equation
    203,916.30 : 305,874.45 = 154,149.90 : x
  2. Step 2: Convert to fraction form
    203,916.30/305,874.45 = 154,149.90/x
  3. Step 3: Cross multiply
    203,916.30x = 305,874.45 × 154,149.90
  4. Step 4: Simplify right side
    203,916.30x = 47,150,515,880.06
  5. Step 5: Solve for x
    x = 47,150,515,880.06/203,916.30
  6. Step 6: Final answer
    x = 231,224.85

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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.