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Finding the Fourth Proportional to 214,205.05, 320,969.62 and 79,083.31

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Solution

The fourth proportional to 214,205.05, 320,969.62 and 79,083.31 is: 118,500.19

Step by Step Solution

  1. Step 1: Write the proportion equation
    214,205.05 : 320,969.62 = 79,083.31 : x
  2. Step 2: Convert to fraction form
    214,205.05/320,969.62 = 79,083.31/x
  3. Step 3: Cross multiply
    214,205.05x = 320,969.62 × 79,083.31
  4. Step 4: Simplify right side
    214,205.05x = 25,383,339,959.04
  5. Step 5: Solve for x
    x = 25,383,339,959.04/214,205.05
  6. Step 6: Final answer
    x = 118,500.19

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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.