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Finding the Fourth Proportional to 54,942.70, 82,414.05 and 13,389.70

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Solution

The fourth proportional to 54,942.70, 82,414.05 and 13,389.70 is: 20,084.55

Step by Step Solution

  1. Step 1: Write the proportion equation
    54,942.70 : 82,414.05 = 13,389.70 : x
  2. Step 2: Convert to fraction form
    54,942.70/82,414.05 = 13,389.70/x
  3. Step 3: Cross multiply
    54,942.70x = 82,414.05 × 13,389.70
  4. Step 4: Simplify right side
    54,942.70x = 1,103,499,405.29
  5. Step 5: Solve for x
    x = 1,103,499,405.29/54,942.70
  6. Step 6: Final answer
    x = 20,084.55

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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.