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Finding the Fourth Proportional to 274,644.64, 412,025.73 and 85,100.80

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Solution

The fourth proportional to 274,644.64, 412,025.73 and 85,100.80 is: 127,669.41

Step by Step Solution

  1. Step 1: Write the proportion equation
    274,644.64 : 412,025.73 = 85,100.80 : x
  2. Step 2: Convert to fraction form
    274,644.64/412,025.73 = 85,100.80/x
  3. Step 3: Cross multiply
    274,644.64x = 412,025.73 × 85,100.80
  4. Step 4: Simplify right side
    274,644.64x = 35,063,719,243.58
  5. Step 5: Solve for x
    x = 35,063,719,243.58/274,644.64
  6. Step 6: Final answer
    x = 127,669.41

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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.