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Finding the Fourth Proportional to 61,780, 92,670.81 and 20,227

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Solution

The fourth proportional to 61,780, 92,670.81 and 20,227 is: 30,340.77

Step by Step Solution

  1. Step 1: Write the proportion equation
    61,780 : 92,670.81 = 20,227 : x
  2. Step 2: Convert to fraction form
    61,780/92,670.81 = 20,227/x
  3. Step 3: Cross multiply
    61,780x = 92,670.81 × 20,227
  4. Step 4: Simplify right side
    61,780x = 1,874,452,473.87
  5. Step 5: Solve for x
    x = 1,874,452,473.87/61,780
  6. Step 6: Final answer
    x = 30,340.77

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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.