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Finding the Fourth Proportional to 214,963.60, 322,330.20 and 90,163.60

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Solution

The fourth proportional to 214,963.60, 322,330.20 and 90,163.60 is: 135,197.08

Step by Step Solution

  1. Step 1: Write the proportion equation
    214,963.60 : 322,330.20 = 90,163.60 : x
  2. Step 2: Convert to fraction form
    214,963.60/322,330.20 = 90,163.60/x
  3. Step 3: Cross multiply
    214,963.60x = 322,330.20 × 90,163.60
  4. Step 4: Simplify right side
    214,963.60x = 29,062,451,220.72
  5. Step 5: Solve for x
    x = 29,062,451,220.72/214,963.60
  6. Step 6: Final answer
    x = 135,197.08

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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.