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Finding the Fourth Proportional to 61,667, 92,500.50 and 20,114

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Solution

The fourth proportional to 61,667, 92,500.50 and 20,114 is: 30,171

Step by Step Solution

  1. Step 1: Write the proportion equation
    61,667 : 92,500.50 = 20,114 : x
  2. Step 2: Convert to fraction form
    61,667/92,500.50 = 20,114/x
  3. Step 3: Cross multiply
    61,667x = 92,500.50 × 20,114
  4. Step 4: Simplify right side
    61,667x = 1,860,555,057
  5. Step 5: Solve for x
    x = 1,860,555,057/61,667
  6. Step 6: Final answer
    x = 30,171

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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.