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Finding the Fourth Proportional to 222,405.60, 333,608.40 and 82,135.20

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Solution

The fourth proportional to 222,405.60, 333,608.40 and 82,135.20 is: 123,202.80

Step by Step Solution

  1. Step 1: Write the proportion equation
    222,405.60 : 333,608.40 = 82,135.20 : x
  2. Step 2: Convert to fraction form
    222,405.60/333,608.40 = 82,135.20/x
  3. Step 3: Cross multiply
    222,405.60x = 333,608.40 × 82,135.20
  4. Step 4: Simplify right side
    222,405.60x = 27,400,992,655.68
  5. Step 5: Solve for x
    x = 27,400,992,655.68/222,405.60
  6. Step 6: Final answer
    x = 123,202.80

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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.