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Finding the Fourth Proportional to 203,986.64, 305,910.96 and 77,596.88

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Solution

The fourth proportional to 203,986.64, 305,910.96 and 77,596.88 is: 116,369.07

Step by Step Solution

  1. Step 1: Write the proportion equation
    203,986.64 : 305,910.96 = 77,596.88 : x
  2. Step 2: Convert to fraction form
    203,986.64/305,910.96 = 77,596.88/x
  3. Step 3: Cross multiply
    203,986.64x = 305,910.96 × 77,596.88
  4. Step 4: Simplify right side
    203,986.64x = 23,737,736,053.80
  5. Step 5: Solve for x
    x = 23,737,736,053.80/203,986.64
  6. Step 6: Final answer
    x = 116,369.07

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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.