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Finding the Fourth Proportional to 71,384.09, 107,091.11 and 27,009.86

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Solution

The fourth proportional to 71,384.09, 107,091.11 and 27,009.86 is: 40,520.45

Step by Step Solution

  1. Step 1: Write the proportion equation
    71,384.09 : 107,091.11 = 27,009.86 : x
  2. Step 2: Convert to fraction form
    71,384.09/107,091.11 = 27,009.86/x
  3. Step 3: Cross multiply
    71,384.09x = 107,091.11 × 27,009.86
  4. Step 4: Simplify right side
    71,384.09x = 2,892,515,420.41
  5. Step 5: Solve for x
    x = 2,892,515,420.41/71,384.09
  6. Step 6: Final answer
    x = 40,520.45

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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.