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Finding the Fourth Proportional to 54,478.44, 81,734.07 and 19,413.54

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Solution

The fourth proportional to 54,478.44, 81,734.07 and 19,413.54 is: 29,126.16

Step by Step Solution

  1. Step 1: Write the proportion equation
    54,478.44 : 81,734.07 = 19,413.54 : x
  2. Step 2: Convert to fraction form
    54,478.44/81,734.07 = 19,413.54/x
  3. Step 3: Cross multiply
    54,478.44x = 81,734.07 × 19,413.54
  4. Step 4: Simplify right side
    54,478.44x = 1,586,747,637.31
  5. Step 5: Solve for x
    x = 1,586,747,637.31/54,478.44
  6. Step 6: Final answer
    x = 29,126.16

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Why These Related Problems?

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