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Finding the Fourth Proportional to 214,609.32, 321,914.02 and 81,489.64

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Solution

The fourth proportional to 214,609.32, 321,914.02 and 81,489.64 is: 122,234.48

Step by Step Solution

  1. Step 1: Write the proportion equation
    214,609.32 : 321,914.02 = 81,489.64 : x
  2. Step 2: Convert to fraction form
    214,609.32/321,914.02 = 81,489.64/x
  3. Step 3: Cross multiply
    214,609.32x = 321,914.02 × 81,489.64
  4. Step 4: Simplify right side
    214,609.32x = 26,232,657,600.75
  5. Step 5: Solve for x
    x = 26,232,657,600.75/214,609.32
  6. Step 6: Final answer
    x = 122,234.48

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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.