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Finding the Fourth Proportional to 71,390.88, 107,091.58 and 18,800

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Solution

The fourth proportional to 71,390.88, 107,091.58 and 18,800 is: 28,201.39

Step by Step Solution

  1. Step 1: Write the proportion equation
    71,390.88 : 107,091.58 = 18,800 : x
  2. Step 2: Convert to fraction form
    71,390.88/107,091.58 = 18,800/x
  3. Step 3: Cross multiply
    71,390.88x = 107,091.58 × 18,800
  4. Step 4: Simplify right side
    71,390.88x = 2,013,321,704
  5. Step 5: Solve for x
    x = 2,013,321,704/71,390.88
  6. Step 6: Final answer
    x = 28,201.39

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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.