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Finding the Fourth Proportional to 195,165, 269,327.88 and 105,741

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Solution

The fourth proportional to 195,165, 269,327.88 and 105,741 is: 145,922.68

Step by Step Solution

  1. Step 1: Write the proportion equation
    195,165 : 269,327.88 = 105,741 : x
  2. Step 2: Convert to fraction form
    195,165/269,327.88 = 105,741/x
  3. Step 3: Cross multiply
    195,165x = 269,327.88 × 105,741
  4. Step 4: Simplify right side
    195,165x = 28,478,999,359.08
  5. Step 5: Solve for x
    x = 28,478,999,359.08/195,165
  6. Step 6: Final answer
    x = 145,922.68

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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.