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Finding the Fourth Proportional to 214,170.30, 321,255.45 and 135,027.90

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Solution

The fourth proportional to 214,170.30, 321,255.45 and 135,027.90 is: 202,541.85

Step by Step Solution

  1. Step 1: Write the proportion equation
    214,170.30 : 321,255.45 = 135,027.90 : x
  2. Step 2: Convert to fraction form
    214,170.30/321,255.45 = 135,027.90/x
  3. Step 3: Cross multiply
    214,170.30x = 321,255.45 × 135,027.90
  4. Step 4: Simplify right side
    214,170.30x = 43,378,448,777.06
  5. Step 5: Solve for x
    x = 43,378,448,777.06/214,170.30
  6. Step 6: Final answer
    x = 202,541.85

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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.