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Finding the Fourth Proportional to 203,745.78, 305,210.43 and 161,697.06

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Solution

The fourth proportional to 203,745.78, 305,210.43 and 161,697.06 is: 242,221.60

Step by Step Solution

  1. Step 1: Write the proportion equation
    203,745.78 : 305,210.43 = 161,697.06 : x
  2. Step 2: Convert to fraction form
    203,745.78/305,210.43 = 161,697.06/x
  3. Step 3: Cross multiply
    203,745.78x = 305,210.43 × 161,697.06
  4. Step 4: Simplify right side
    203,745.78x = 49,351,629,212.34
  5. Step 5: Solve for x
    x = 49,351,629,212.34/203,745.78
  6. Step 6: Final answer
    x = 242,221.60

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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.