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Finding the Fourth Proportional to 214,563.40, 321,990.90 and 119,793.40

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Solution

The fourth proportional to 214,563.40, 321,990.90 and 119,793.40 is: 179,771.50

Step by Step Solution

  1. Step 1: Write the proportion equation
    214,563.40 : 321,990.90 = 119,793.40 : x
  2. Step 2: Convert to fraction form
    214,563.40/321,990.90 = 119,793.40/x
  3. Step 3: Cross multiply
    214,563.40x = 321,990.90 × 119,793.40
  4. Step 4: Simplify right side
    214,563.40x = 38,572,384,680.06
  5. Step 5: Solve for x
    x = 38,572,384,680.06/214,563.40
  6. Step 6: Final answer
    x = 179,771.50

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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.