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Finding the Fourth Proportional to 214,664.50, 321,996.75 and 66,920.50

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Solution

The fourth proportional to 214,664.50, 321,996.75 and 66,920.50 is: 100,380.75

Step by Step Solution

  1. Step 1: Write the proportion equation
    214,664.50 : 321,996.75 = 66,920.50 : x
  2. Step 2: Convert to fraction form
    214,664.50/321,996.75 = 66,920.50/x
  3. Step 3: Cross multiply
    214,664.50x = 321,996.75 × 66,920.50
  4. Step 4: Simplify right side
    214,664.50x = 21,548,183,508.38
  5. Step 5: Solve for x
    x = 21,548,183,508.38/214,664.50
  6. Step 6: Final answer
    x = 100,380.75

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1.5x scale

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.