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Finding the Fourth Proportional to 54,286.88, 74,920.72 and 30,413.40

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Solution

The fourth proportional to 54,286.88, 74,920.72 and 30,413.40 is: 41,973.20

Step by Step Solution

  1. Step 1: Write the proportion equation
    54,286.88 : 74,920.72 = 30,413.40 : x
  2. Step 2: Convert to fraction form
    54,286.88/74,920.72 = 30,413.40/x
  3. Step 3: Cross multiply
    54,286.88x = 74,920.72 × 30,413.40
  4. Step 4: Simplify right side
    54,286.88x = 2,278,593,825.65
  5. Step 5: Solve for x
    x = 2,278,593,825.65/54,286.88
  6. Step 6: Final answer
    x = 41,973.20

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1.5x scale

Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.