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Finding the Fourth Proportional to 54,947, 82,413.12 and 15,507.28

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Solution

The fourth proportional to 54,947, 82,413.12 and 15,507.28 is: 23,258.84

Step by Step Solution

  1. Step 1: Write the proportion equation
    54,947 : 82,413.12 = 15,507.28 : x
  2. Step 2: Convert to fraction form
    54,947/82,413.12 = 15,507.28/x
  3. Step 3: Cross multiply
    54,947x = 82,413.12 × 15,507.28
  4. Step 4: Simplify right side
    54,947x = 1,278,003,327.51
  5. Step 5: Solve for x
    x = 1,278,003,327.51/54,947
  6. Step 6: Final answer
    x = 23,258.84

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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.