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Finding the Fourth Proportional to 195,563.79, 269,878.14 and 106,139.79

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Solution

The fourth proportional to 195,563.79, 269,878.14 and 106,139.79 is: 146,472.97

Step by Step Solution

  1. Step 1: Write the proportion equation
    195,563.79 : 269,878.14 = 106,139.79 : x
  2. Step 2: Convert to fraction form
    195,563.79/269,878.14 = 106,139.79/x
  3. Step 3: Cross multiply
    195,563.79x = 269,878.14 × 106,139.79
  4. Step 4: Simplify right side
    195,563.79x = 28,644,809,105.19
  5. Step 5: Solve for x
    x = 28,644,809,105.19/195,563.79
  6. Step 6: Final answer
    x = 146,472.97

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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.