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Finding the Fourth Proportional to 214,850.60, 322,391.10 and 90,204.20

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Solution

The fourth proportional to 214,850.60, 322,391.10 and 90,204.20 is: 135,354.67

Step by Step Solution

  1. Step 1: Write the proportion equation
    214,850.60 : 322,391.10 = 90,204.20 : x
  2. Step 2: Convert to fraction form
    214,850.60/322,391.10 = 90,204.20/x
  3. Step 3: Cross multiply
    214,850.60x = 322,391.10 × 90,204.20
  4. Step 4: Simplify right side
    214,850.60x = 29,081,031,262.62
  5. Step 5: Solve for x
    x = 29,081,031,262.62/214,850.60
  6. Step 6: Final answer
    x = 135,354.67

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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.