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Finding the Fourth Proportional to 195,202.56, 269,379.84 and 105,778.56

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Solution

The fourth proportional to 195,202.56, 269,379.84 and 105,778.56 is: 145,974.58

Step by Step Solution

  1. Step 1: Write the proportion equation
    195,202.56 : 269,379.84 = 105,778.56 : x
  2. Step 2: Convert to fraction form
    195,202.56/269,379.84 = 105,778.56/x
  3. Step 3: Cross multiply
    195,202.56x = 269,379.84 × 105,778.56
  4. Step 4: Simplify right side
    195,202.56x = 28,494,611,568.23
  5. Step 5: Solve for x
    x = 28,494,611,568.23/195,202.56
  6. Step 6: Final answer
    x = 145,974.58

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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.