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Finding the Fourth Proportional to 73,413.60, 110,120.40 and 20,824.80

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Solution

The fourth proportional to 73,413.60, 110,120.40 and 20,824.80 is: 31,237.20

Step by Step Solution

  1. Step 1: Write the proportion equation
    73,413.60 : 110,120.40 = 20,824.80 : x
  2. Step 2: Convert to fraction form
    73,413.60/110,120.40 = 20,824.80/x
  3. Step 3: Cross multiply
    73,413.60x = 110,120.40 × 20,824.80
  4. Step 4: Simplify right side
    73,413.60x = 2,293,235,305.92
  5. Step 5: Solve for x
    x = 2,293,235,305.92/73,413.60
  6. Step 6: Final answer
    x = 31,237.20

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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.