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Finding the Fourth Proportional to 203,022.71, 304,362.78 and 127,977.40

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Solution

The fourth proportional to 203,022.71, 304,362.78 and 127,977.40 is: 191,858.13

Step by Step Solution

  1. Step 1: Write the proportion equation
    203,022.71 : 304,362.78 = 127,977.40 : x
  2. Step 2: Convert to fraction form
    203,022.71/304,362.78 = 127,977.40/x
  3. Step 3: Cross multiply
    203,022.71x = 304,362.78 × 127,977.40
  4. Step 4: Simplify right side
    203,022.71x = 38,951,557,241.17
  5. Step 5: Solve for x
    x = 38,951,557,241.17/203,022.71
  6. Step 6: Final answer
    x = 191,858.13

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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.