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Finding the Fourth Proportional to 54,751.78, 82,173.83 and 21,495.20

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Solution

The fourth proportional to 54,751.78, 82,173.83 and 21,495.20 is: 32,260.92

Step by Step Solution

  1. Step 1: Write the proportion equation
    54,751.78 : 82,173.83 = 21,495.20 : x
  2. Step 2: Convert to fraction form
    54,751.78/82,173.83 = 21,495.20/x
  3. Step 3: Cross multiply
    54,751.78x = 82,173.83 × 21,495.20
  4. Step 4: Simplify right side
    54,751.78x = 1,766,342,910.62
  5. Step 5: Solve for x
    x = 1,766,342,910.62/54,751.78
  6. Step 6: Final answer
    x = 32,260.92

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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.