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Finding the Fourth Proportional to 63,854, 95,796.36 and 20,078

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Solution

The fourth proportional to 63,854, 95,796.36 and 20,078 is: 30,121.83

Step by Step Solution

  1. Step 1: Write the proportion equation
    63,854 : 95,796.36 = 20,078 : x
  2. Step 2: Convert to fraction form
    63,854/95,796.36 = 20,078/x
  3. Step 3: Cross multiply
    63,854x = 95,796.36 × 20,078
  4. Step 4: Simplify right side
    63,854x = 1,923,399,316.08
  5. Step 5: Solve for x
    x = 1,923,399,316.08/63,854
  6. Step 6: Final answer
    x = 30,121.83

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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.