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Finding the Fourth Proportional to 252,435.45, 378,571.01 and 83,910.60

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Solution

The fourth proportional to 252,435.45, 378,571.01 and 83,910.60 is: 125,838.59

Step by Step Solution

  1. Step 1: Write the proportion equation
    252,435.45 : 378,571.01 = 83,910.60 : x
  2. Step 2: Convert to fraction form
    252,435.45/378,571.01 = 83,910.60/x
  3. Step 3: Cross multiply
    252,435.45x = 378,571.01 × 83,910.60
  4. Step 4: Simplify right side
    252,435.45x = 31,766,120,172.15
  5. Step 5: Solve for x
    x = 31,766,120,172.15/252,435.45
  6. Step 6: Final answer
    x = 125,838.59

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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.