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Finding the Fourth Proportional to 54,633.78, 75,396.03 and 30,761.31

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Solution

The fourth proportional to 54,633.78, 75,396.03 and 30,761.31 is: 42,451.40

Step by Step Solution

  1. Step 1: Write the proportion equation
    54,633.78 : 75,396.03 = 30,761.31 : x
  2. Step 2: Convert to fraction form
    54,633.78/75,396.03 = 30,761.31/x
  3. Step 3: Cross multiply
    54,633.78x = 75,396.03 × 30,761.31
  4. Step 4: Simplify right side
    54,633.78x = 2,319,280,651.60
  5. Step 5: Solve for x
    x = 2,319,280,651.60/54,633.78
  6. Step 6: Final answer
    x = 42,451.40

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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.