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Finding the Fourth Proportional to 274,781.30, 412,230.79 and 85,237.57

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Solution

The fourth proportional to 274,781.30, 412,230.79 and 85,237.57 is: 127,874.60

Step by Step Solution

  1. Step 1: Write the proportion equation
    274,781.30 : 412,230.79 = 85,237.57 : x
  2. Step 2: Convert to fraction form
    274,781.30/412,230.79 = 85,237.57/x
  3. Step 3: Cross multiply
    274,781.30x = 412,230.79 × 85,237.57
  4. Step 4: Simplify right side
    274,781.30x = 35,137,548,757.63
  5. Step 5: Solve for x
    x = 35,137,548,757.63/274,781.30
  6. Step 6: Final answer
    x = 127,874.60

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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.