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Finding the Fourth Proportional to 214,469.60, 321,819.60 and 89,823.20

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Solution

The fourth proportional to 214,469.60, 321,819.60 and 89,823.20 is: 134,783.05

Step by Step Solution

  1. Step 1: Write the proportion equation
    214,469.60 : 321,819.60 = 89,823.20 : x
  2. Step 2: Convert to fraction form
    214,469.60/321,819.60 = 89,823.20/x
  3. Step 3: Cross multiply
    214,469.60x = 321,819.60 × 89,823.20
  4. Step 4: Simplify right side
    214,469.60x = 28,906,866,294.72
  5. Step 5: Solve for x
    x = 28,906,866,294.72/214,469.60
  6. Step 6: Final answer
    x = 134,783.05

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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.