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Finding the Fourth Proportional to 193,940.51, 290,941.74 and 67,617.09

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Solution

The fourth proportional to 193,940.51, 290,941.74 and 67,617.09 is: 101,436.44

Step by Step Solution

  1. Step 1: Write the proportion equation
    193,940.51 : 290,941.74 = 67,617.09 : x
  2. Step 2: Convert to fraction form
    193,940.51/290,941.74 = 67,617.09/x
  3. Step 3: Cross multiply
    193,940.51x = 290,941.74 × 67,617.09
  4. Step 4: Simplify right side
    193,940.51x = 19,672,633,818.34
  5. Step 5: Solve for x
    x = 19,672,633,818.34/193,940.51
  6. Step 6: Final answer
    x = 101,436.44

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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.