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Finding the Fourth Proportional to 36,000, 49,679.87 and 20,083.50

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Solution

The fourth proportional to 36,000, 49,679.87 and 20,083.50 is: 27,715.15

Step by Step Solution

  1. Step 1: Write the proportion equation
    36,000 : 49,679.87 = 20,083.50 : x
  2. Step 2: Convert to fraction form
    36,000/49,679.87 = 20,083.50/x
  3. Step 3: Cross multiply
    36,000x = 49,679.87 × 20,083.50
  4. Step 4: Simplify right side
    36,000x = 997,745,568.73
  5. Step 5: Solve for x
    x = 997,745,568.73/36,000
  6. Step 6: Final answer
    x = 27,715.15

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.