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Finding the Fourth Proportional to 214,640.40, 321,960.60 and 74,413.20

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Solution

The fourth proportional to 214,640.40, 321,960.60 and 74,413.20 is: 111,619.80

Step by Step Solution

  1. Step 1: Write the proportion equation
    214,640.40 : 321,960.60 = 74,413.20 : x
  2. Step 2: Convert to fraction form
    214,640.40/321,960.60 = 74,413.20/x
  3. Step 3: Cross multiply
    214,640.40x = 321,960.60 × 74,413.20
  4. Step 4: Simplify right side
    214,640.40x = 23,958,118,519.92
  5. Step 5: Solve for x
    x = 23,958,118,519.92/214,640.40
  6. Step 6: Final answer
    x = 111,619.80

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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.