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Finding the Fourth Proportional to 214,179.30, 321,296.49 and 71,963.15

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Solution

The fourth proportional to 214,179.30, 321,296.49 and 71,963.15 is: 107,953.97

Step by Step Solution

  1. Step 1: Write the proportion equation
    214,179.30 : 321,296.49 = 71,963.15 : x
  2. Step 2: Convert to fraction form
    214,179.30/321,296.49 = 71,963.15/x
  3. Step 3: Cross multiply
    214,179.30x = 321,296.49 × 71,963.15
  4. Step 4: Simplify right side
    214,179.30x = 23,121,505,897.86
  5. Step 5: Solve for x
    x = 23,121,505,897.86/214,179.30
  6. Step 6: Final answer
    x = 107,953.97

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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.