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Finding the Fourth Proportional to 119,821.96, 165,361.82 and 68,850.64

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Solution

The fourth proportional to 119,821.96, 165,361.82 and 68,850.64 is: 95,018.20

Step by Step Solution

  1. Step 1: Write the proportion equation
    119,821.96 : 165,361.82 = 68,850.64 : x
  2. Step 2: Convert to fraction form
    119,821.96/165,361.82 = 68,850.64/x
  3. Step 3: Cross multiply
    119,821.96x = 165,361.82 × 68,850.64
  4. Step 4: Simplify right side
    119,821.96x = 11,385,267,138.56
  5. Step 5: Solve for x
    x = 11,385,267,138.56/119,821.96
  6. Step 6: Final answer
    x = 95,018.20

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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.