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Finding the Fourth Proportional to 263,070.53, 394,619.88 and 83,142.27

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Solution

The fourth proportional to 263,070.53, 394,619.88 and 83,142.27 is: 124,717.85

Step by Step Solution

  1. Step 1: Write the proportion equation
    263,070.53 : 394,619.88 = 83,142.27 : x
  2. Step 2: Convert to fraction form
    263,070.53/394,619.88 = 83,142.27/x
  3. Step 3: Cross multiply
    263,070.53x = 394,619.88 × 83,142.27
  4. Step 4: Simplify right side
    263,070.53x = 32,809,591,578.41
  5. Step 5: Solve for x
    x = 32,809,591,578.41/263,070.53
  6. Step 6: Final answer
    x = 124,717.85

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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.