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Finding the Fourth Proportional to 54,940.78, 82,411.17 and 13,387.78

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Solution

The fourth proportional to 54,940.78, 82,411.17 and 13,387.78 is: 20,081.67

Step by Step Solution

  1. Step 1: Write the proportion equation
    54,940.78 : 82,411.17 = 13,387.78 : x
  2. Step 2: Convert to fraction form
    54,940.78/82,411.17 = 13,387.78/x
  3. Step 3: Cross multiply
    54,940.78x = 82,411.17 × 13,387.78
  4. Step 4: Simplify right side
    54,940.78x = 1,103,302,741.62
  5. Step 5: Solve for x
    x = 1,103,302,741.62/54,940.78
  6. Step 6: Final answer
    x = 20,081.67

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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.