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Finding the Fourth Proportional to 203,418.34, 304,947.76 and 76,970.78

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Solution

The fourth proportional to 203,418.34, 304,947.76 and 76,970.78 is: 115,388.16

Step by Step Solution

  1. Step 1: Write the proportion equation
    203,418.34 : 304,947.76 = 76,970.78 : x
  2. Step 2: Convert to fraction form
    203,418.34/304,947.76 = 76,970.78/x
  3. Step 3: Cross multiply
    203,418.34x = 304,947.76 × 76,970.78
  4. Step 4: Simplify right side
    203,418.34x = 23,472,067,591.31
  5. Step 5: Solve for x
    x = 23,472,067,591.31/203,418.34
  6. Step 6: Final answer
    x = 115,388.16

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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.