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Finding the Fourth Proportional to 20,109.13, 27,751.34 and 12,149.82

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Solution

The fourth proportional to 20,109.13, 27,751.34 and 12,149.82 is: 16,767.20

Step by Step Solution

  1. Step 1: Write the proportion equation
    20,109.13 : 27,751.34 = 12,149.82 : x
  2. Step 2: Convert to fraction form
    20,109.13/27,751.34 = 12,149.82/x
  3. Step 3: Cross multiply
    20,109.13x = 27,751.34 × 12,149.82
  4. Step 4: Simplify right side
    20,109.13x = 337,173,785.76
  5. Step 5: Solve for x
    x = 337,173,785.76/20,109.13
  6. Step 6: Final answer
    x = 16,767.20

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These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.