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Finding the Fourth Proportional to 194,974.85, 292,478.67 and 68,601.78

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Solution

The fourth proportional to 194,974.85, 292,478.67 and 68,601.78 is: 102,908.44

Step by Step Solution

  1. Step 1: Write the proportion equation
    194,974.85 : 292,478.67 = 68,601.78 : x
  2. Step 2: Convert to fraction form
    194,974.85/292,478.67 = 68,601.78/x
  3. Step 3: Cross multiply
    194,974.85x = 292,478.67 × 68,601.78
  4. Step 4: Simplify right side
    194,974.85x = 20,064,557,374.03
  5. Step 5: Solve for x
    x = 20,064,557,374.03/194,974.85
  6. Step 6: Final answer
    x = 102,908.44

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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.