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Finding the Fourth Proportional to 203,134.40, 304,729.92 and 84,778.64

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Solution

The fourth proportional to 203,134.40, 304,729.92 and 84,778.64 is: 127,179.78

Step by Step Solution

  1. Step 1: Write the proportion equation
    203,134.40 : 304,729.92 = 84,778.64 : x
  2. Step 2: Convert to fraction form
    203,134.40/304,729.92 = 84,778.64/x
  3. Step 3: Cross multiply
    203,134.40x = 304,729.92 × 84,778.64
  4. Step 4: Simplify right side
    203,134.40x = 25,834,588,184.91
  5. Step 5: Solve for x
    x = 25,834,588,184.91/203,134.40
  6. Step 6: Final answer
    x = 127,179.78

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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.