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Finding the Fourth Proportional to 72,115.38, 108,171.90 and 27,751.77

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Solution

The fourth proportional to 72,115.38, 108,171.90 and 27,751.77 is: 41,627.20

Step by Step Solution

  1. Step 1: Write the proportion equation
    72,115.38 : 108,171.90 = 27,751.77 : x
  2. Step 2: Convert to fraction form
    72,115.38/108,171.90 = 27,751.77/x
  3. Step 3: Cross multiply
    72,115.38x = 108,171.90 × 27,751.77
  4. Step 4: Simplify right side
    72,115.38x = 3,001,961,689.26
  5. Step 5: Solve for x
    x = 3,001,961,689.26/72,115.38
  6. Step 6: Final answer
    x = 41,627.20

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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.