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Finding the Fourth Proportional to 165,029.88, 227,745.36 and 89,578.20

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Solution

The fourth proportional to 165,029.88, 227,745.36 and 89,578.20 is: 123,620.16

Step by Step Solution

  1. Step 1: Write the proportion equation
    165,029.88 : 227,745.36 = 89,578.20 : x
  2. Step 2: Convert to fraction form
    165,029.88/227,745.36 = 89,578.20/x
  3. Step 3: Cross multiply
    165,029.88x = 227,745.36 × 89,578.20
  4. Step 4: Simplify right side
    165,029.88x = 20,401,019,407.15
  5. Step 5: Solve for x
    x = 20,401,019,407.15/165,029.88
  6. Step 6: Final answer
    x = 123,620.16

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1.5x scale

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.