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Finding the Fourth Proportional to 203,910.38, 305,930.57 and 85,549.94

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Solution

The fourth proportional to 203,910.38, 305,930.57 and 85,549.94 is: 128,352.18

Step by Step Solution

  1. Step 1: Write the proportion equation
    203,910.38 : 305,930.57 = 85,549.94 : x
  2. Step 2: Convert to fraction form
    203,910.38/305,930.57 = 85,549.94/x
  3. Step 3: Cross multiply
    203,910.38x = 305,930.57 × 85,549.94
  4. Step 4: Simplify right side
    203,910.38x = 26,172,341,907.67
  5. Step 5: Solve for x
    x = 26,172,341,907.67/203,910.38
  6. Step 6: Final answer
    x = 128,352.18

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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.