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Finding the Fourth Proportional to 203,833.09, 305,869.92 and 77,579.62

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Solution

The fourth proportional to 203,833.09, 305,869.92 and 77,579.62 is: 116,415.21

Step by Step Solution

  1. Step 1: Write the proportion equation
    203,833.09 : 305,869.92 = 77,579.62 : x
  2. Step 2: Convert to fraction form
    203,833.09/305,869.92 = 77,579.62/x
  3. Step 3: Cross multiply
    203,833.09x = 305,869.92 × 77,579.62
  4. Step 4: Simplify right side
    203,833.09x = 23,729,272,163.03
  5. Step 5: Solve for x
    x = 23,729,272,163.03/203,833.09
  6. Step 6: Final answer
    x = 116,415.21

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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.