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Finding the Fourth Proportional to 71,385.28, 107,083.38 and 18,794

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Solution

The fourth proportional to 71,385.28, 107,083.38 and 18,794 is: 28,192.44

Step by Step Solution

  1. Step 1: Write the proportion equation
    71,385.28 : 107,083.38 = 18,794 : x
  2. Step 2: Convert to fraction form
    71,385.28/107,083.38 = 18,794/x
  3. Step 3: Cross multiply
    71,385.28x = 107,083.38 × 18,794
  4. Step 4: Simplify right side
    71,385.28x = 2,012,525,043.72
  5. Step 5: Solve for x
    x = 2,012,525,043.72/71,385.28
  6. Step 6: Final answer
    x = 28,192.44

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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.