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Finding the Fourth Proportional to 213,805.18, 320,696.34 and 80,676.82

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Solution

The fourth proportional to 213,805.18, 320,696.34 and 80,676.82 is: 121,010.92

Step by Step Solution

  1. Step 1: Write the proportion equation
    213,805.18 : 320,696.34 = 80,676.82 : x
  2. Step 2: Convert to fraction form
    213,805.18/320,696.34 = 80,676.82/x
  3. Step 3: Cross multiply
    213,805.18x = 320,696.34 × 80,676.82
  4. Step 4: Simplify right side
    213,805.18x = 25,872,760,896.84
  5. Step 5: Solve for x
    x = 25,872,760,896.84/213,805.18
  6. Step 6: Final answer
    x = 121,010.92

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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.