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Finding the Fourth Proportional to 54,021.89, 74,546.12 and 31,357.22

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Solution

The fourth proportional to 54,021.89, 74,546.12 and 31,357.22 is: 43,270.59

Step by Step Solution

  1. Step 1: Write the proportion equation
    54,021.89 : 74,546.12 = 31,357.22 : x
  2. Step 2: Convert to fraction form
    54,021.89/74,546.12 = 31,357.22/x
  3. Step 3: Cross multiply
    54,021.89x = 74,546.12 × 31,357.22
  4. Step 4: Simplify right side
    54,021.89x = 2,337,559,194.99
  5. Step 5: Solve for x
    x = 2,337,559,194.99/54,021.89
  6. Step 6: Final answer
    x = 43,270.59

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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.