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Finding the Fourth Proportional to 49,515, 74,282.22 and 21,813

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Solution

The fourth proportional to 49,515, 74,282.22 and 21,813 is: 32,723.78

Step by Step Solution

  1. Step 1: Write the proportion equation
    49,515 : 74,282.22 = 21,813 : x
  2. Step 2: Convert to fraction form
    49,515/74,282.22 = 21,813/x
  3. Step 3: Cross multiply
    49,515x = 74,282.22 × 21,813
  4. Step 4: Simplify right side
    49,515x = 1,620,318,064.86
  5. Step 5: Solve for x
    x = 1,620,318,064.86/49,515
  6. Step 6: Final answer
    x = 32,723.78

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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.