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Finding the Fourth Proportional to 195,195, 269,369.10 and 105,771

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Solution

The fourth proportional to 195,195, 269,369.10 and 105,771 is: 145,963.98

Step by Step Solution

  1. Step 1: Write the proportion equation
    195,195 : 269,369.10 = 105,771 : x
  2. Step 2: Convert to fraction form
    195,195/269,369.10 = 105,771/x
  3. Step 3: Cross multiply
    195,195x = 269,369.10 × 105,771
  4. Step 4: Simplify right side
    195,195x = 28,491,439,076.10
  5. Step 5: Solve for x
    x = 28,491,439,076.10/195,195
  6. Step 6: Final answer
    x = 145,963.98

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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.