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Finding the Fourth Proportional to 20,109, 27,751.86 and 11,158.20

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Solution

The fourth proportional to 20,109, 27,751.86 and 11,158.20 is: 15,399.12

Step by Step Solution

  1. Step 1: Write the proportion equation
    20,109 : 27,751.86 = 11,158.20 : x
  2. Step 2: Convert to fraction form
    20,109/27,751.86 = 11,158.20/x
  3. Step 3: Cross multiply
    20,109x = 27,751.86 × 11,158.20
  4. Step 4: Simplify right side
    20,109x = 309,660,804.25
  5. Step 5: Solve for x
    x = 309,660,804.25/20,109
  6. Step 6: Final answer
    x = 15,399.12

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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.