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Finding the Fourth Proportional to 119,115, 164,408.40 and 68,843.16

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Solution

The fourth proportional to 119,115, 164,408.40 and 68,843.16 is: 95,020.73

Step by Step Solution

  1. Step 1: Write the proportion equation
    119,115 : 164,408.40 = 68,843.16 : x
  2. Step 2: Convert to fraction form
    119,115/164,408.40 = 68,843.16/x
  3. Step 3: Cross multiply
    119,115x = 164,408.40 × 68,843.16
  4. Step 4: Simplify right side
    119,115x = 11,318,393,786.54
  5. Step 5: Solve for x
    x = 11,318,393,786.54/119,115
  6. Step 6: Final answer
    x = 95,020.73

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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.