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Finding the Fourth Proportional to 225,764.78, 338,665.60 and 113,387.20

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Solution

The fourth proportional to 225,764.78, 338,665.60 and 113,387.20 is: 170,090.06

Step by Step Solution

  1. Step 1: Write the proportion equation
    225,764.78 : 338,665.60 = 113,387.20 : x
  2. Step 2: Convert to fraction form
    225,764.78/338,665.60 = 113,387.20/x
  3. Step 3: Cross multiply
    225,764.78x = 338,665.60 × 113,387.20
  4. Step 4: Simplify right side
    225,764.78x = 38,400,344,120.32
  5. Step 5: Solve for x
    x = 38,400,344,120.32/225,764.78
  6. Step 6: Final answer
    x = 170,090.06

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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.