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Finding the Fourth Proportional to 54,498.21, 75,205.11 and 31,839.30

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Solution

The fourth proportional to 54,498.21, 75,205.11 and 31,839.30 is: 43,936.82

Step by Step Solution

  1. Step 1: Write the proportion equation
    54,498.21 : 75,205.11 = 31,839.30 : x
  2. Step 2: Convert to fraction form
    54,498.21/75,205.11 = 31,839.30/x
  3. Step 3: Cross multiply
    54,498.21x = 75,205.11 × 31,839.30
  4. Step 4: Simplify right side
    54,498.21x = 2,394,478,058.82
  5. Step 5: Solve for x
    x = 2,394,478,058.82/54,498.21
  6. Step 6: Final answer
    x = 43,936.82

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