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Finding the Fourth Proportional to 195,171, 269,336.16 and 105,747

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Solution

The fourth proportional to 195,171, 269,336.16 and 105,747 is: 145,930.96

Step by Step Solution

  1. Step 1: Write the proportion equation
    195,171 : 269,336.16 = 105,747 : x
  2. Step 2: Convert to fraction form
    195,171/269,336.16 = 105,747/x
  3. Step 3: Cross multiply
    195,171x = 269,336.16 × 105,747
  4. Step 4: Simplify right side
    195,171x = 28,481,490,911.52
  5. Step 5: Solve for x
    x = 28,481,490,911.52/195,171
  6. Step 6: Final answer
    x = 145,930.96

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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.