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Finding the Fourth Proportional to 54,481.68, 81,730.74 and 19,418.64

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Solution

The fourth proportional to 54,481.68, 81,730.74 and 19,418.64 is: 29,130.89

Step by Step Solution

  1. Step 1: Write the proportion equation
    54,481.68 : 81,730.74 = 19,418.64 : x
  2. Step 2: Convert to fraction form
    54,481.68/81,730.74 = 19,418.64/x
  3. Step 3: Cross multiply
    54,481.68x = 81,730.74 × 19,418.64
  4. Step 4: Simplify right side
    54,481.68x = 1,587,099,816.99
  5. Step 5: Solve for x
    x = 1,587,099,816.99/54,481.68
  6. Step 6: Final answer
    x = 29,130.89

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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.