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Finding the Fourth Proportional to 115,874.40, 173,811.60 and 82,413.30

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Solution

The fourth proportional to 115,874.40, 173,811.60 and 82,413.30 is: 123,619.95

Step by Step Solution

  1. Step 1: Write the proportion equation
    115,874.40 : 173,811.60 = 82,413.30 : x
  2. Step 2: Convert to fraction form
    115,874.40/173,811.60 = 82,413.30/x
  3. Step 3: Cross multiply
    115,874.40x = 173,811.60 × 82,413.30
  4. Step 4: Simplify right side
    115,874.40x = 14,324,387,534.28
  5. Step 5: Solve for x
    x = 14,324,387,534.28/115,874.40
  6. Step 6: Final answer
    x = 123,619.95

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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.