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Finding the Fourth Proportional to 229,879.82, 344,978.29 and 80,121.35

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Solution

The fourth proportional to 229,879.82, 344,978.29 and 80,121.35 is: 120,237.29

Step by Step Solution

  1. Step 1: Write the proportion equation
    229,879.82 : 344,978.29 = 80,121.35 : x
  2. Step 2: Convert to fraction form
    229,879.82/344,978.29 = 80,121.35/x
  3. Step 3: Cross multiply
    229,879.82x = 344,978.29 × 80,121.35
  4. Step 4: Simplify right side
    229,879.82x = 27,640,127,278.09
  5. Step 5: Solve for x
    x = 27,640,127,278.09/229,879.82
  6. Step 6: Final answer
    x = 120,237.29

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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.