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Finding the Fourth Proportional to 137,233.80, 205,850.70 and 81,100.80

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Solution

The fourth proportional to 137,233.80, 205,850.70 and 81,100.80 is: 121,651.20

Step by Step Solution

  1. Step 1: Write the proportion equation
    137,233.80 : 205,850.70 = 81,100.80 : x
  2. Step 2: Convert to fraction form
    137,233.80/205,850.70 = 81,100.80/x
  3. Step 3: Cross multiply
    137,233.80x = 205,850.70 × 81,100.80
  4. Step 4: Simplify right side
    137,233.80x = 16,694,656,450.56
  5. Step 5: Solve for x
    x = 16,694,656,450.56/137,233.80
  6. Step 6: Final answer
    x = 121,651.20

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.