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Finding the Fourth Proportional to 54,665.46, 75,439.62 and 30,791.79

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Solution

The fourth proportional to 54,665.46, 75,439.62 and 30,791.79 is: 42,493.39

Step by Step Solution

  1. Step 1: Write the proportion equation
    54,665.46 : 75,439.62 = 30,791.79 : x
  2. Step 2: Convert to fraction form
    54,665.46/75,439.62 = 30,791.79/x
  3. Step 3: Cross multiply
    54,665.46x = 75,439.62 × 30,791.79
  4. Step 4: Simplify right side
    54,665.46x = 2,322,920,936.72
  5. Step 5: Solve for x
    x = 2,322,920,936.72/54,665.46
  6. Step 6: Final answer
    x = 42,493.39

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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.