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Finding the Fourth Proportional to 213,633, 320,504.22 and 80,514.36

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Solution

The fourth proportional to 213,633, 320,504.22 and 80,514.36 is: 120,792.16

Step by Step Solution

  1. Step 1: Write the proportion equation
    213,633 : 320,504.22 = 80,514.36 : x
  2. Step 2: Convert to fraction form
    213,633/320,504.22 = 80,514.36/x
  3. Step 3: Cross multiply
    213,633x = 320,504.22 × 80,514.36
  4. Step 4: Simplify right side
    213,633x = 25,805,192,150.60
  5. Step 5: Solve for x
    x = 25,805,192,150.60/213,633
  6. Step 6: Final answer
    x = 120,792.16

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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.