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Finding the Fourth Proportional to 203,021.71, 304,361.28 and 127,976.40

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Solution

The fourth proportional to 203,021.71, 304,361.28 and 127,976.40 is: 191,856.63

Step by Step Solution

  1. Step 1: Write the proportion equation
    203,021.71 : 304,361.28 = 127,976.40 : x
  2. Step 2: Convert to fraction form
    203,021.71/304,361.28 = 127,976.40/x
  3. Step 3: Cross multiply
    203,021.71x = 304,361.28 × 127,976.40
  4. Step 4: Simplify right side
    203,021.71x = 38,951,060,913.79
  5. Step 5: Solve for x
    x = 38,951,060,913.79/203,021.71
  6. Step 6: Final answer
    x = 191,856.63

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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.