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Finding the Fourth Proportional to 195,069, 269,195.22 and 105,645

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Solution

The fourth proportional to 195,069, 269,195.22 and 105,645 is: 145,790.10

Step by Step Solution

  1. Step 1: Write the proportion equation
    195,069 : 269,195.22 = 105,645 : x
  2. Step 2: Convert to fraction form
    195,069/269,195.22 = 105,645/x
  3. Step 3: Cross multiply
    195,069x = 269,195.22 × 105,645
  4. Step 4: Simplify right side
    195,069x = 28,439,129,016.90
  5. Step 5: Solve for x
    x = 28,439,129,016.90/195,069
  6. Step 6: Final answer
    x = 145,790.10

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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.