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Finding the Fourth Proportional to 61,665, 92,497.50 and 20,112

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Solution

The fourth proportional to 61,665, 92,497.50 and 20,112 is: 30,168

Step by Step Solution

  1. Step 1: Write the proportion equation
    61,665 : 92,497.50 = 20,112 : x
  2. Step 2: Convert to fraction form
    61,665/92,497.50 = 20,112/x
  3. Step 3: Cross multiply
    61,665x = 92,497.50 × 20,112
  4. Step 4: Simplify right side
    61,665x = 1,860,309,720
  5. Step 5: Solve for x
    x = 1,860,309,720/61,665
  6. Step 6: Final answer
    x = 30,168

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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.