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Finding the Fourth Proportional to 213,821.20, 320,731.80 and 103,229.20

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Solution

The fourth proportional to 213,821.20, 320,731.80 and 103,229.20 is: 154,843.80

Step by Step Solution

  1. Step 1: Write the proportion equation
    213,821.20 : 320,731.80 = 103,229.20 : x
  2. Step 2: Convert to fraction form
    213,821.20/320,731.80 = 103,229.20/x
  3. Step 3: Cross multiply
    213,821.20x = 320,731.80 × 103,229.20
  4. Step 4: Simplify right side
    213,821.20x = 33,108,887,128.56
  5. Step 5: Solve for x
    x = 33,108,887,128.56/213,821.20
  6. Step 6: Final answer
    x = 154,843.80

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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.