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Finding the Fourth Proportional to 214,504.59, 321,630.72 and 81,394.21

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Solution

The fourth proportional to 214,504.59, 321,630.72 and 81,394.21 is: 122,043.43

Step by Step Solution

  1. Step 1: Write the proportion equation
    214,504.59 : 321,630.72 = 81,394.21 : x
  2. Step 2: Convert to fraction form
    214,504.59/321,630.72 = 81,394.21/x
  3. Step 3: Cross multiply
    214,504.59x = 321,630.72 × 81,394.21
  4. Step 4: Simplify right side
    214,504.59x = 26,178,876,351.01
  5. Step 5: Solve for x
    x = 26,178,876,351.01/214,504.59
  6. Step 6: Final answer
    x = 122,043.43

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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.