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Finding the Fourth Proportional to 214,398.26, 321,168.62 and 128,961.92

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Solution

The fourth proportional to 214,398.26, 321,168.62 and 128,961.92 is: 193,184.97

Step by Step Solution

  1. Step 1: Write the proportion equation
    214,398.26 : 321,168.62 = 128,961.92 : x
  2. Step 2: Convert to fraction form
    214,398.26/321,168.62 = 128,961.92/x
  3. Step 3: Cross multiply
    214,398.26x = 321,168.62 × 128,961.92
  4. Step 4: Simplify right side
    214,398.26x = 41,418,519,628.30
  5. Step 5: Solve for x
    x = 41,418,519,628.30/214,398.26
  6. Step 6: Final answer
    x = 193,184.97

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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.