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Finding the Fourth Proportional to 20,149.98, 30,276 and 12,757.92

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Solution

The fourth proportional to 20,149.98, 30,276 and 12,757.92 is: 19,169.19

Step by Step Solution

  1. Step 1: Write the proportion equation
    20,149.98 : 30,276 = 12,757.92 : x
  2. Step 2: Convert to fraction form
    20,149.98/30,276 = 12,757.92/x
  3. Step 3: Cross multiply
    20,149.98x = 30,276 × 12,757.92
  4. Step 4: Simplify right side
    20,149.98x = 386,258,785.92
  5. Step 5: Solve for x
    x = 386,258,785.92/20,149.98
  6. Step 6: Final answer
    x = 19,169.19

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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.