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Finding the Fourth Proportional to 54,654.92, 75,424.04 and 30,782

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Solution

The fourth proportional to 54,654.92, 75,424.04 and 30,782 is: 42,479.30

Step by Step Solution

  1. Step 1: Write the proportion equation
    54,654.92 : 75,424.04 = 30,782 : x
  2. Step 2: Convert to fraction form
    54,654.92/75,424.04 = 30,782/x
  3. Step 3: Cross multiply
    54,654.92x = 75,424.04 × 30,782
  4. Step 4: Simplify right side
    54,654.92x = 2,321,702,799.28
  5. Step 5: Solve for x
    x = 2,321,702,799.28/54,654.92
  6. Step 6: Final answer
    x = 42,479.30

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.