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Finding the Fourth Proportional to 87,464.70, 131,201.19 and 28,305

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Solution

The fourth proportional to 87,464.70, 131,201.19 and 28,305 is: 42,458.84

Step by Step Solution

  1. Step 1: Write the proportion equation
    87,464.70 : 131,201.19 = 28,305 : x
  2. Step 2: Convert to fraction form
    87,464.70/131,201.19 = 28,305/x
  3. Step 3: Cross multiply
    87,464.70x = 131,201.19 × 28,305
  4. Step 4: Simplify right side
    87,464.70x = 3,713,649,682.95
  5. Step 5: Solve for x
    x = 3,713,649,682.95/87,464.70
  6. Step 6: Final answer
    x = 42,458.84

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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.