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Finding the Fourth Proportional to 214,606, 321,804.24 and 64,817.56

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Solution

The fourth proportional to 214,606, 321,804.24 and 64,817.56 is: 97,194.70

Step by Step Solution

  1. Step 1: Write the proportion equation
    214,606 : 321,804.24 = 64,817.56 : x
  2. Step 2: Convert to fraction form
    214,606/321,804.24 = 64,817.56/x
  3. Step 3: Cross multiply
    214,606x = 321,804.24 × 64,817.56
  4. Step 4: Simplify right side
    214,606x = 20,858,565,634.45
  5. Step 5: Solve for x
    x = 20,858,565,634.45/214,606
  6. Step 6: Final answer
    x = 97,194.70

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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.