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Finding the Fourth Proportional to 80,490.50, 120,742.41 and 25,086.50

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Solution

The fourth proportional to 80,490.50, 120,742.41 and 25,086.50 is: 37,631.83

Step by Step Solution

  1. Step 1: Write the proportion equation
    80,490.50 : 120,742.41 = 25,086.50 : x
  2. Step 2: Convert to fraction form
    80,490.50/120,742.41 = 25,086.50/x
  3. Step 3: Cross multiply
    80,490.50x = 120,742.41 × 25,086.50
  4. Step 4: Simplify right side
    80,490.50x = 3,029,004,468.47
  5. Step 5: Solve for x
    x = 3,029,004,468.47/80,490.50
  6. Step 6: Final answer
    x = 37,631.83

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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.