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Finding the Fourth Proportional to 203,321.64, 304,878.78 and 84,961.20

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Solution

The fourth proportional to 203,321.64, 304,878.78 and 84,961.20 is: 127,398.48

Step by Step Solution

  1. Step 1: Write the proportion equation
    203,321.64 : 304,878.78 = 84,961.20 : x
  2. Step 2: Convert to fraction form
    203,321.64/304,878.78 = 84,961.20/x
  3. Step 3: Cross multiply
    203,321.64x = 304,878.78 × 84,961.20
  4. Step 4: Simplify right side
    203,321.64x = 25,902,867,003.34
  5. Step 5: Solve for x
    x = 25,902,867,003.34/203,321.64
  6. Step 6: Final answer
    x = 127,398.48

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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.