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Finding the Fourth Proportional to 53,902.54, 74,386.31 and 31,243.13

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Solution

The fourth proportional to 53,902.54, 74,386.31 and 31,243.13 is: 43,115.99

Step by Step Solution

  1. Step 1: Write the proportion equation
    53,902.54 : 74,386.31 = 31,243.13 : x
  2. Step 2: Convert to fraction form
    53,902.54/74,386.31 = 31,243.13/x
  3. Step 3: Cross multiply
    53,902.54x = 74,386.31 × 31,243.13
  4. Step 4: Simplify right side
    53,902.54x = 2,324,061,153.55
  5. Step 5: Solve for x
    x = 2,324,061,153.55/53,902.54
  6. Step 6: Final answer
    x = 43,115.99

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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.