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Finding the Fourth Proportional to 203,654.67, 305,705.48 and 161,803.77

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Solution

The fourth proportional to 203,654.67, 305,705.48 and 161,803.77 is: 242,883.21

Step by Step Solution

  1. Step 1: Write the proportion equation
    203,654.67 : 305,705.48 = 161,803.77 : x
  2. Step 2: Convert to fraction form
    203,654.67/305,705.48 = 161,803.77/x
  3. Step 3: Cross multiply
    203,654.67x = 305,705.48 × 161,803.77
  4. Step 4: Simplify right side
    203,654.67x = 49,464,299,173.66
  5. Step 5: Solve for x
    x = 49,464,299,173.66/203,654.67
  6. Step 6: Final answer
    x = 242,883.21

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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.