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Finding the Fourth Proportional to 203,072.74, 304,262.43 and 143,809.90

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Solution

The fourth proportional to 203,072.74, 304,262.43 and 143,809.90 is: 215,469.34

Step by Step Solution

  1. Step 1: Write the proportion equation
    203,072.74 : 304,262.43 = 143,809.90 : x
  2. Step 2: Convert to fraction form
    203,072.74/304,262.43 = 143,809.90/x
  3. Step 3: Cross multiply
    203,072.74x = 304,262.43 × 143,809.90
  4. Step 4: Simplify right side
    203,072.74x = 43,755,949,632.06
  5. Step 5: Solve for x
    x = 43,755,949,632.06/203,072.74
  6. Step 6: Final answer
    x = 215,469.34

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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.