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Finding the Fourth Proportional to 214,563.90, 321,991.65 and 119,793.90

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Solution

The fourth proportional to 214,563.90, 321,991.65 and 119,793.90 is: 179,772.25

Step by Step Solution

  1. Step 1: Write the proportion equation
    214,563.90 : 321,991.65 = 119,793.90 : x
  2. Step 2: Convert to fraction form
    214,563.90/321,991.65 = 119,793.90/x
  3. Step 3: Cross multiply
    214,563.90x = 321,991.65 × 119,793.90
  4. Step 4: Simplify right side
    214,563.90x = 38,572,635,520.94
  5. Step 5: Solve for x
    x = 38,572,635,520.94/214,563.90
  6. Step 6: Final answer
    x = 179,772.25

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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.