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Finding the Fourth Proportional to 87,183.28, 130,774 and 28,019

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Solution

The fourth proportional to 87,183.28, 130,774 and 28,019 is: 42,028.20

Step by Step Solution

  1. Step 1: Write the proportion equation
    87,183.28 : 130,774 = 28,019 : x
  2. Step 2: Convert to fraction form
    87,183.28/130,774 = 28,019/x
  3. Step 3: Cross multiply
    87,183.28x = 130,774 × 28,019
  4. Step 4: Simplify right side
    87,183.28x = 3,664,156,706
  5. Step 5: Solve for x
    x = 3,664,156,706/87,183.28
  6. Step 6: Final answer
    x = 42,028.20

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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.