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Finding the Fourth Proportional to 137,218.80, 205,828.20 and 135,906.60

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Solution

The fourth proportional to 137,218.80, 205,828.20 and 135,906.60 is: 203,859.90

Step by Step Solution

  1. Step 1: Write the proportion equation
    137,218.80 : 205,828.20 = 135,906.60 : x
  2. Step 2: Convert to fraction form
    137,218.80/205,828.20 = 135,906.60/x
  3. Step 3: Cross multiply
    137,218.80x = 205,828.20 × 135,906.60
  4. Step 4: Simplify right side
    137,218.80x = 27,973,410,846.12
  5. Step 5: Solve for x
    x = 27,973,410,846.12/137,218.80
  6. Step 6: Final answer
    x = 203,859.90

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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.