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Finding the Fourth Proportional to 214,170.67, 321,243.59 and 64,407.70

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Solution

The fourth proportional to 214,170.67, 321,243.59 and 64,407.70 is: 96,607.81

Step by Step Solution

  1. Step 1: Write the proportion equation
    214,170.67 : 321,243.59 = 64,407.70 : x
  2. Step 2: Convert to fraction form
    214,170.67/321,243.59 = 64,407.70/x
  3. Step 3: Cross multiply
    214,170.67x = 321,243.59 × 64,407.70
  4. Step 4: Simplify right side
    214,170.67x = 20,690,560,449.60
  5. Step 5: Solve for x
    x = 20,690,560,449.60/214,170.67
  6. Step 6: Final answer
    x = 96,607.81

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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.