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Finding the Fourth Proportional to 120,980.82, 166,954.24 and 67,270.90

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Solution

The fourth proportional to 120,980.82, 166,954.24 and 67,270.90 is: 92,834.24

Step by Step Solution

  1. Step 1: Write the proportion equation
    120,980.82 : 166,954.24 = 67,270.90 : x
  2. Step 2: Convert to fraction form
    120,980.82/166,954.24 = 67,270.90/x
  3. Step 3: Cross multiply
    120,980.82x = 166,954.24 × 67,270.90
  4. Step 4: Simplify right side
    120,980.82x = 11,231,161,983.62
  5. Step 5: Solve for x
    x = 11,231,161,983.62/120,980.82
  6. Step 6: Final answer
    x = 92,834.24

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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.