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Finding the Fourth Proportional to 225,907.58, 338,863.80 and 68,137.40

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Solution

The fourth proportional to 225,907.58, 338,863.80 and 68,137.40 is: 102,206.84

Step by Step Solution

  1. Step 1: Write the proportion equation
    225,907.58 : 338,863.80 = 68,137.40 : x
  2. Step 2: Convert to fraction form
    225,907.58/338,863.80 = 68,137.40/x
  3. Step 3: Cross multiply
    225,907.58x = 338,863.80 × 68,137.40
  4. Step 4: Simplify right side
    225,907.58x = 23,089,299,388.79
  5. Step 5: Solve for x
    x = 23,089,299,388.79/225,907.58
  6. Step 6: Final answer
    x = 102,206.84

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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.