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Finding the Fourth Proportional to 194,354.78, 268,198.74 and 107,137.06

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Solution

The fourth proportional to 194,354.78, 268,198.74 and 107,137.06 is: 147,843.16

Step by Step Solution

  1. Step 1: Write the proportion equation
    194,354.78 : 268,198.74 = 107,137.06 : x
  2. Step 2: Convert to fraction form
    194,354.78/268,198.74 = 107,137.06/x
  3. Step 3: Cross multiply
    194,354.78x = 268,198.74 × 107,137.06
  4. Step 4: Simplify right side
    194,354.78x = 28,734,023,828.81
  5. Step 5: Solve for x
    x = 28,734,023,828.81/194,354.78
  6. Step 6: Final answer
    x = 147,843.16

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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.