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Finding the Fourth Proportional to 203,696.80, 305,775.60 and 120,637.60

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Solution

The fourth proportional to 203,696.80, 305,775.60 and 120,637.60 is: 181,092.85

Step by Step Solution

  1. Step 1: Write the proportion equation
    203,696.80 : 305,775.60 = 120,637.60 : x
  2. Step 2: Convert to fraction form
    203,696.80/305,775.60 = 120,637.60/x
  3. Step 3: Cross multiply
    203,696.80x = 305,775.60 × 120,637.60
  4. Step 4: Simplify right side
    203,696.80x = 36,888,034,522.56
  5. Step 5: Solve for x
    x = 36,888,034,522.56/203,696.80
  6. Step 6: Final answer
    x = 181,092.85

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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.