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Finding the Fourth Proportional to 20,137, 30,109.38 and 18,372.46

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Solution

The fourth proportional to 20,137, 30,109.38 and 18,372.46 is: 27,470.99

Step by Step Solution

  1. Step 1: Write the proportion equation
    20,137 : 30,109.38 = 18,372.46 : x
  2. Step 2: Convert to fraction form
    20,137/30,109.38 = 18,372.46/x
  3. Step 3: Cross multiply
    20,137x = 30,109.38 × 18,372.46
  4. Step 4: Simplify right side
    20,137x = 553,183,379.67
  5. Step 5: Solve for x
    x = 553,183,379.67/20,137
  6. Step 6: Final answer
    x = 27,470.99

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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.