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Finding the Fourth Proportional to 214,618.48, 321,958.44 and 66,886

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Solution

The fourth proportional to 214,618.48, 321,958.44 and 66,886 is: 100,338.57

Step by Step Solution

  1. Step 1: Write the proportion equation
    214,618.48 : 321,958.44 = 66,886 : x
  2. Step 2: Convert to fraction form
    214,618.48/321,958.44 = 66,886/x
  3. Step 3: Cross multiply
    214,618.48x = 321,958.44 × 66,886
  4. Step 4: Simplify right side
    214,618.48x = 21,534,512,217.84
  5. Step 5: Solve for x
    x = 21,534,512,217.84/214,618.48
  6. Step 6: Final answer
    x = 100,338.57

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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.