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Finding the Fourth Proportional to 214,757.88, 321,893.76 and 109,354.20

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Solution

The fourth proportional to 214,757.88, 321,893.76 and 109,354.20 is: 163,907.53

Step by Step Solution

  1. Step 1: Write the proportion equation
    214,757.88 : 321,893.76 = 109,354.20 : x
  2. Step 2: Convert to fraction form
    214,757.88/321,893.76 = 109,354.20/x
  3. Step 3: Cross multiply
    214,757.88x = 321,893.76 × 109,354.20
  4. Step 4: Simplify right side
    214,757.88x = 35,200,434,609.79
  5. Step 5: Solve for x
    x = 35,200,434,609.79/214,757.88
  6. Step 6: Final answer
    x = 163,907.53

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1.5x scale

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.