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Finding the Fourth Proportional to 203,717.72, 305,578.31 and 77,324.03

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Solution

The fourth proportional to 203,717.72, 305,578.31 and 77,324.03 is: 115,986.70

Step by Step Solution

  1. Step 1: Write the proportion equation
    203,717.72 : 305,578.31 = 77,324.03 : x
  2. Step 2: Convert to fraction form
    203,717.72/305,578.31 = 77,324.03/x
  3. Step 3: Cross multiply
    203,717.72x = 305,578.31 × 77,324.03
  4. Step 4: Simplify right side
    203,717.72x = 23,628,544,495.28
  5. Step 5: Solve for x
    x = 23,628,544,495.28/203,717.72
  6. Step 6: Final answer
    x = 115,986.70

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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.