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Finding the Fourth Proportional to 178,198.54, 245,913.90 and 106,578.56

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Solution

The fourth proportional to 178,198.54, 245,913.90 and 106,578.56 is: 147,078.36

Step by Step Solution

  1. Step 1: Write the proportion equation
    178,198.54 : 245,913.90 = 106,578.56 : x
  2. Step 2: Convert to fraction form
    178,198.54/245,913.90 = 106,578.56/x
  3. Step 3: Cross multiply
    178,198.54x = 245,913.90 × 106,578.56
  4. Step 4: Simplify right side
    178,198.54x = 26,209,149,345.98
  5. Step 5: Solve for x
    x = 26,209,149,345.98/178,198.54
  6. Step 6: Final answer
    x = 147,078.36

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.