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Finding the Fourth Proportional to 178,336.97, 267,621.38 and 77,233.78

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Solution

The fourth proportional to 178,336.97, 267,621.38 and 77,233.78 is: 115,900.87

Step by Step Solution

  1. Step 1: Write the proportion equation
    178,336.97 : 267,621.38 = 77,233.78 : x
  2. Step 2: Convert to fraction form
    178,336.97/267,621.38 = 77,233.78/x
  3. Step 3: Cross multiply
    178,336.97x = 267,621.38 × 77,233.78
  4. Step 4: Simplify right side
    178,336.97x = 20,669,410,786.22
  5. Step 5: Solve for x
    x = 20,669,410,786.22/178,336.97
  6. Step 6: Final answer
    x = 115,900.87

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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.