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Finding the Fourth Proportional to 54,238.66, 74,847.10 and 31,578.24

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Solution

The fourth proportional to 54,238.66, 74,847.10 and 31,578.24 is: 43,576.66

Step by Step Solution

  1. Step 1: Write the proportion equation
    54,238.66 : 74,847.10 = 31,578.24 : x
  2. Step 2: Convert to fraction form
    54,238.66/74,847.10 = 31,578.24/x
  3. Step 3: Cross multiply
    54,238.66x = 74,847.10 × 31,578.24
  4. Step 4: Simplify right side
    54,238.66x = 2,363,539,687.10
  5. Step 5: Solve for x
    x = 2,363,539,687.10/54,238.66
  6. Step 6: Final answer
    x = 43,576.66

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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.