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Finding the Fourth Proportional to 214,579.84, 321,761.76 and 74,300.80

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Solution

The fourth proportional to 214,579.84, 321,761.76 and 74,300.80 is: 111,413.80

Step by Step Solution

  1. Step 1: Write the proportion equation
    214,579.84 : 321,761.76 = 74,300.80 : x
  2. Step 2: Convert to fraction form
    214,579.84/321,761.76 = 74,300.80/x
  3. Step 3: Cross multiply
    214,579.84x = 321,761.76 × 74,300.80
  4. Step 4: Simplify right side
    214,579.84x = 23,907,156,177.41
  5. Step 5: Solve for x
    x = 23,907,156,177.41/214,579.84
  6. Step 6: Final answer
    x = 111,413.80

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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.