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Finding the Fourth Proportional to 203,868, 305,543.64 and 115,171.48

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Solution

The fourth proportional to 203,868, 305,543.64 and 115,171.48 is: 172,611.26

Step by Step Solution

  1. Step 1: Write the proportion equation
    203,868 : 305,543.64 = 115,171.48 : x
  2. Step 2: Convert to fraction form
    203,868/305,543.64 = 115,171.48/x
  3. Step 3: Cross multiply
    203,868x = 305,543.64 × 115,171.48
  4. Step 4: Simplify right side
    203,868x = 35,189,913,223.39
  5. Step 5: Solve for x
    x = 35,189,913,223.39/203,868
  6. Step 6: Final answer
    x = 172,611.26

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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.