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Finding the Fourth Proportional to 115,137, 158,958.18 and 75,462.12

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Solution

The fourth proportional to 115,137, 158,958.18 and 75,462.12 is: 104,183.03

Step by Step Solution

  1. Step 1: Write the proportion equation
    115,137 : 158,958.18 = 75,462.12 : x
  2. Step 2: Convert to fraction form
    115,137/158,958.18 = 75,462.12/x
  3. Step 3: Cross multiply
    115,137x = 158,958.18 × 75,462.12
  4. Step 4: Simplify right side
    115,137x = 11,995,321,254.14
  5. Step 5: Solve for x
    x = 11,995,321,254.14/115,137
  6. Step 6: Final answer
    x = 104,183.03

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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.