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Finding the Fourth Proportional to 54,872.64, 75,723.84 and 30,998.88

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Solution

The fourth proportional to 54,872.64, 75,723.84 and 30,998.88 is: 42,778.23

Step by Step Solution

  1. Step 1: Write the proportion equation
    54,872.64 : 75,723.84 = 30,998.88 : x
  2. Step 2: Convert to fraction form
    54,872.64/75,723.84 = 30,998.88/x
  3. Step 3: Cross multiply
    54,872.64x = 75,723.84 × 30,998.88
  4. Step 4: Simplify right side
    54,872.64x = 2,347,354,229.30
  5. Step 5: Solve for x
    x = 2,347,354,229.30/54,872.64
  6. Step 6: Final answer
    x = 42,778.23

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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.