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Finding the Fourth Proportional to 225,811.43, 338,774.10 and 159,381.30

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Solution

The fourth proportional to 225,811.43, 338,774.10 and 159,381.30 is: 239,112.15

Step by Step Solution

  1. Step 1: Write the proportion equation
    225,811.43 : 338,774.10 = 159,381.30 : x
  2. Step 2: Convert to fraction form
    225,811.43/338,774.10 = 159,381.30/x
  3. Step 3: Cross multiply
    225,811.43x = 338,774.10 × 159,381.30
  4. Step 4: Simplify right side
    225,811.43x = 53,994,257,137.05
  5. Step 5: Solve for x
    x = 53,994,257,137.05/225,811.43
  6. Step 6: Final answer
    x = 239,112.15

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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.