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Finding the Fourth Proportional to 115,486.87, 159,481.95 and 109,197.19

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Solution

The fourth proportional to 115,486.87, 159,481.95 and 109,197.19 is: 150,796.19

Step by Step Solution

  1. Step 1: Write the proportion equation
    115,486.87 : 159,481.95 = 109,197.19 : x
  2. Step 2: Convert to fraction form
    115,486.87/159,481.95 = 109,197.19/x
  3. Step 3: Cross multiply
    115,486.87x = 159,481.95 × 109,197.19
  4. Step 4: Simplify right side
    115,486.87x = 17,414,979,452.32
  5. Step 5: Solve for x
    x = 17,414,979,452.32/115,486.87
  6. Step 6: Final answer
    x = 150,796.19

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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.