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Finding the Fourth Proportional to 45,450, 68,177.61 and 13,861.14

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Solution

The fourth proportional to 45,450, 68,177.61 and 13,861.14 is: 20,792.51

Step by Step Solution

  1. Step 1: Write the proportion equation
    45,450 : 68,177.61 = 13,861.14 : x
  2. Step 2: Convert to fraction form
    45,450/68,177.61 = 13,861.14/x
  3. Step 3: Cross multiply
    45,450x = 68,177.61 × 13,861.14
  4. Step 4: Simplify right side
    45,450x = 945,019,397.08
  5. Step 5: Solve for x
    x = 945,019,397.08/45,450
  6. Step 6: Final answer
    x = 20,792.51

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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.