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Finding the Fourth Proportional to 154,627.92, 231,993.72 and 65,843.28

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Solution

The fourth proportional to 154,627.92, 231,993.72 and 65,843.28 is: 98,786.99

Step by Step Solution

  1. Step 1: Write the proportion equation
    154,627.92 : 231,993.72 = 65,843.28 : x
  2. Step 2: Convert to fraction form
    154,627.92/231,993.72 = 65,843.28/x
  3. Step 3: Cross multiply
    154,627.92x = 231,993.72 × 65,843.28
  4. Step 4: Simplify right side
    154,627.92x = 15,275,227,464.20
  5. Step 5: Solve for x
    x = 15,275,227,464.20/154,627.92
  6. Step 6: Final answer
    x = 98,786.99

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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.