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Finding the Fourth Proportional to 203,021.20, 304,498.20 and 68,083.60

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Solution

The fourth proportional to 203,021.20, 304,498.20 and 68,083.60 is: 102,114.13

Step by Step Solution

  1. Step 1: Write the proportion equation
    203,021.20 : 304,498.20 = 68,083.60 : x
  2. Step 2: Convert to fraction form
    203,021.20/304,498.20 = 68,083.60/x
  3. Step 3: Cross multiply
    203,021.20x = 304,498.20 × 68,083.60
  4. Step 4: Simplify right side
    203,021.20x = 20,731,333,649.52
  5. Step 5: Solve for x
    x = 20,731,333,649.52/203,021.20
  6. Step 6: Final answer
    x = 102,114.13

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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.