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Finding the Fourth Proportional to 214,612.20, 321,642.90 and 119,842.20

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Solution

The fourth proportional to 214,612.20, 321,642.90 and 119,842.20 is: 179,609.51

Step by Step Solution

  1. Step 1: Write the proportion equation
    214,612.20 : 321,642.90 = 119,842.20 : x
  2. Step 2: Convert to fraction form
    214,612.20/321,642.90 = 119,842.20/x
  3. Step 3: Cross multiply
    214,612.20x = 321,642.90 × 119,842.20
  4. Step 4: Simplify right side
    214,612.20x = 38,546,392,750.38
  5. Step 5: Solve for x
    x = 38,546,392,750.38/214,612.20
  6. Step 6: Final answer
    x = 179,609.51

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1.5x scale

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.