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Finding the Fourth Proportional to 54,853.64, 82,283.64 and 15,413.81

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Solution

The fourth proportional to 54,853.64, 82,283.64 and 15,413.81 is: 23,121.61

Step by Step Solution

  1. Step 1: Write the proportion equation
    54,853.64 : 82,283.64 = 15,413.81 : x
  2. Step 2: Convert to fraction form
    54,853.64/82,283.64 = 15,413.81/x
  3. Step 3: Cross multiply
    54,853.64x = 82,283.64 × 15,413.81
  4. Step 4: Simplify right side
    54,853.64x = 1,268,304,393.07
  5. Step 5: Solve for x
    x = 1,268,304,393.07/54,853.64
  6. Step 6: Final answer
    x = 23,121.61

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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.