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Finding the Fourth Proportional to 195,837, 270,255.78 and 106,413

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Solution

The fourth proportional to 195,837, 270,255.78 and 106,413 is: 146,850.33

Step by Step Solution

  1. Step 1: Write the proportion equation
    195,837 : 270,255.78 = 106,413 : x
  2. Step 2: Convert to fraction form
    195,837/270,255.78 = 106,413/x
  3. Step 3: Cross multiply
    195,837x = 270,255.78 × 106,413
  4. Step 4: Simplify right side
    195,837x = 28,758,728,317.14
  5. Step 5: Solve for x
    x = 28,758,728,317.14/195,837
  6. Step 6: Final answer
    x = 146,850.33

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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.