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Finding the Fourth Proportional to 132,983.20, 199,183.20 and 115,487.20

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Solution

The fourth proportional to 132,983.20, 199,183.20 and 115,487.20 is: 172,977.56

Step by Step Solution

  1. Step 1: Write the proportion equation
    132,983.20 : 199,183.20 = 115,487.20 : x
  2. Step 2: Convert to fraction form
    132,983.20/199,183.20 = 115,487.20/x
  3. Step 3: Cross multiply
    132,983.20x = 199,183.20 × 115,487.20
  4. Step 4: Simplify right side
    132,983.20x = 23,003,110,055.04
  5. Step 5: Solve for x
    x = 23,003,110,055.04/132,983.20
  6. Step 6: Final answer
    x = 172,977.56

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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.