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Finding the Fourth Proportional to 126,185.63, 174,136.38 and 68,825

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Solution

The fourth proportional to 126,185.63, 174,136.38 and 68,825 is: 94,978.61

Step by Step Solution

  1. Step 1: Write the proportion equation
    126,185.63 : 174,136.38 = 68,825 : x
  2. Step 2: Convert to fraction form
    126,185.63/174,136.38 = 68,825/x
  3. Step 3: Cross multiply
    126,185.63x = 174,136.38 × 68,825
  4. Step 4: Simplify right side
    126,185.63x = 11,984,936,353.50
  5. Step 5: Solve for x
    x = 11,984,936,353.50/126,185.63
  6. Step 6: Final answer
    x = 94,978.61

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.