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Finding the Fourth Proportional to 214,413.84, 321,575.40 and 72,245.88

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Solution

The fourth proportional to 214,413.84, 321,575.40 and 72,245.88 is: 108,353.54

Step by Step Solution

  1. Step 1: Write the proportion equation
    214,413.84 : 321,575.40 = 72,245.88 : x
  2. Step 2: Convert to fraction form
    214,413.84/321,575.40 = 72,245.88/x
  3. Step 3: Cross multiply
    214,413.84x = 321,575.40 × 72,245.88
  4. Step 4: Simplify right side
    214,413.84x = 23,232,497,759.35
  5. Step 5: Solve for x
    x = 23,232,497,759.35/214,413.84
  6. Step 6: Final answer
    x = 108,353.54

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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.