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Finding the Fourth Proportional to 214,138.69, 321,213.20 and 71,985.81

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Solution

The fourth proportional to 214,138.69, 321,213.20 and 71,985.81 is: 107,980.46

Step by Step Solution

  1. Step 1: Write the proportion equation
    214,138.69 : 321,213.20 = 71,985.81 : x
  2. Step 2: Convert to fraction form
    214,138.69/321,213.20 = 71,985.81/x
  3. Step 3: Cross multiply
    214,138.69x = 321,213.20 × 71,985.81
  4. Step 4: Simplify right side
    214,138.69x = 23,122,793,229.31
  5. Step 5: Solve for x
    x = 23,122,793,229.31/214,138.69
  6. Step 6: Final answer
    x = 107,980.46

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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.