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Finding the Fourth Proportional to 54,978.26, 82,491.98 and 31,604.72

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Solution

The fourth proportional to 54,978.26, 82,491.98 and 31,604.72 is: 47,421.21

Step by Step Solution

  1. Step 1: Write the proportion equation
    54,978.26 : 82,491.98 = 31,604.72 : x
  2. Step 2: Convert to fraction form
    54,978.26/82,491.98 = 31,604.72/x
  3. Step 3: Cross multiply
    54,978.26x = 82,491.98 × 31,604.72
  4. Step 4: Simplify right side
    54,978.26x = 2,607,135,359.66
  5. Step 5: Solve for x
    x = 2,607,135,359.66/54,978.26
  6. Step 6: Final answer
    x = 47,421.21

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.