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Finding the Fourth Proportional to 203,776.80, 305,895.60 and 120,717.60

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Solution

The fourth proportional to 203,776.80, 305,895.60 and 120,717.60 is: 181,212.89

Step by Step Solution

  1. Step 1: Write the proportion equation
    203,776.80 : 305,895.60 = 120,717.60 : x
  2. Step 2: Convert to fraction form
    203,776.80/305,895.60 = 120,717.60/x
  3. Step 3: Cross multiply
    203,776.80x = 305,895.60 × 120,717.60
  4. Step 4: Simplify right side
    203,776.80x = 36,926,982,682.56
  5. Step 5: Solve for x
    x = 36,926,982,682.56/203,776.80
  6. Step 6: Final answer
    x = 181,212.89

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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.