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Finding the Fourth Proportional to 63,845, 95,767.50 and 20,069

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Solution

The fourth proportional to 63,845, 95,767.50 and 20,069 is: 30,103.50

Step by Step Solution

  1. Step 1: Write the proportion equation
    63,845 : 95,767.50 = 20,069 : x
  2. Step 2: Convert to fraction form
    63,845/95,767.50 = 20,069/x
  3. Step 3: Cross multiply
    63,845x = 95,767.50 × 20,069
  4. Step 4: Simplify right side
    63,845x = 1,921,957,957.50
  5. Step 5: Solve for x
    x = 1,921,957,957.50/63,845
  6. Step 6: Final answer
    x = 30,103.50

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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.