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Finding the Fourth Proportional to 214,010.28, 320,840.28 and 80,814.96

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Solution

The fourth proportional to 214,010.28, 320,840.28 and 80,814.96 is: 121,156.30

Step by Step Solution

  1. Step 1: Write the proportion equation
    214,010.28 : 320,840.28 = 80,814.96 : x
  2. Step 2: Convert to fraction form
    214,010.28/320,840.28 = 80,814.96/x
  3. Step 3: Cross multiply
    214,010.28x = 320,840.28 × 80,814.96
  4. Step 4: Simplify right side
    214,010.28x = 25,928,694,394.59
  5. Step 5: Solve for x
    x = 25,928,694,394.59/214,010.28
  6. Step 6: Final answer
    x = 121,156.30

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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.