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Finding the Fourth Proportional to 274,640.64, 412,019.73 and 85,096.80

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Solution

The fourth proportional to 274,640.64, 412,019.73 and 85,096.80 is: 127,663.41

Step by Step Solution

  1. Step 1: Write the proportion equation
    274,640.64 : 412,019.73 = 85,096.80 : x
  2. Step 2: Convert to fraction form
    274,640.64/412,019.73 = 85,096.80/x
  3. Step 3: Cross multiply
    274,640.64x = 412,019.73 × 85,096.80
  4. Step 4: Simplify right side
    274,640.64x = 35,061,560,559.86
  5. Step 5: Solve for x
    x = 35,061,560,559.86/274,640.64
  6. Step 6: Final answer
    x = 127,663.41

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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.