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Finding the Fourth Proportional to 214,010.78, 320,841.03 and 80,815.46

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Solution

The fourth proportional to 214,010.78, 320,841.03 and 80,815.46 is: 121,157.05

Step by Step Solution

  1. Step 1: Write the proportion equation
    214,010.78 : 320,841.03 = 80,815.46 : x
  2. Step 2: Convert to fraction form
    214,010.78/320,841.03 = 80,815.46/x
  3. Step 3: Cross multiply
    214,010.78x = 320,841.03 × 80,815.46
  4. Step 4: Simplify right side
    214,010.78x = 25,928,915,426.32
  5. Step 5: Solve for x
    x = 25,928,915,426.32/214,010.78
  6. Step 6: Final answer
    x = 121,157.05

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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.