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Finding the Fourth Proportional to 199,914.88, 275,879.28 and 109,269.76

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Solution

The fourth proportional to 199,914.88, 275,879.28 and 109,269.76 is: 150,790.49

Step by Step Solution

  1. Step 1: Write the proportion equation
    199,914.88 : 275,879.28 = 109,269.76 : x
  2. Step 2: Convert to fraction form
    199,914.88/275,879.28 = 109,269.76/x
  3. Step 3: Cross multiply
    199,914.88x = 275,879.28 × 109,269.76
  4. Step 4: Simplify right side
    199,914.88x = 30,145,262,714.57
  5. Step 5: Solve for x
    x = 30,145,262,714.57/199,914.88
  6. Step 6: Final answer
    x = 150,790.49

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.