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Finding the Fourth Proportional to 195,555, 269,865.90 and 106,131

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Solution

The fourth proportional to 195,555, 269,865.90 and 106,131 is: 146,460.78

Step by Step Solution

  1. Step 1: Write the proportion equation
    195,555 : 269,865.90 = 106,131 : x
  2. Step 2: Convert to fraction form
    195,555/269,865.90 = 106,131/x
  3. Step 3: Cross multiply
    195,555x = 269,865.90 × 106,131
  4. Step 4: Simplify right side
    195,555x = 28,641,137,832.90
  5. Step 5: Solve for x
    x = 28,641,137,832.90/195,555
  6. Step 6: Final answer
    x = 146,460.78

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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.