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Finding the Fourth Proportional to 225,960.12, 338,738.82 and 85,817.16

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Solution

The fourth proportional to 225,960.12, 338,738.82 and 85,817.16 is: 128,649.27

Step by Step Solution

  1. Step 1: Write the proportion equation
    225,960.12 : 338,738.82 = 85,817.16 : x
  2. Step 2: Convert to fraction form
    225,960.12/338,738.82 = 85,817.16/x
  3. Step 3: Cross multiply
    225,960.12x = 338,738.82 × 85,817.16
  4. Step 4: Simplify right side
    225,960.12x = 29,069,603,514.15
  5. Step 5: Solve for x
    x = 29,069,603,514.15/225,960.12
  6. Step 6: Final answer
    x = 128,649.27

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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.