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Finding the Fourth Proportional to 71,661.35, 107,538.86 and 27,288.54

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Solution

The fourth proportional to 71,661.35, 107,538.86 and 27,288.54 is: 40,950.64

Step by Step Solution

  1. Step 1: Write the proportion equation
    71,661.35 : 107,538.86 = 27,288.54 : x
  2. Step 2: Convert to fraction form
    71,661.35/107,538.86 = 27,288.54/x
  3. Step 3: Cross multiply
    71,661.35x = 107,538.86 × 27,288.54
  4. Step 4: Simplify right side
    71,661.35x = 2,934,578,346.22
  5. Step 5: Solve for x
    x = 2,934,578,346.22/71,661.35
  6. Step 6: Final answer
    x = 40,950.64

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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.