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Finding the Fourth Proportional to 195,135, 269,286.32 and 105,711

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Solution

The fourth proportional to 195,135, 269,286.32 and 105,711 is: 145,881.19

Step by Step Solution

  1. Step 1: Write the proportion equation
    195,135 : 269,286.32 = 105,711 : x
  2. Step 2: Convert to fraction form
    195,135/269,286.32 = 105,711/x
  3. Step 3: Cross multiply
    195,135x = 269,286.32 × 105,711
  4. Step 4: Simplify right side
    195,135x = 28,466,526,173.52
  5. Step 5: Solve for x
    x = 28,466,526,173.52/195,135
  6. Step 6: Final answer
    x = 145,881.19

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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.