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Finding the Fourth Proportional to 197,364.38, 272,369.32 and 107,940.38

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Solution

The fourth proportional to 197,364.38, 272,369.32 and 107,940.38 is: 148,961.26

Step by Step Solution

  1. Step 1: Write the proportion equation
    197,364.38 : 272,369.32 = 107,940.38 : x
  2. Step 2: Convert to fraction form
    197,364.38/272,369.32 = 107,940.38/x
  3. Step 3: Cross multiply
    197,364.38x = 272,369.32 × 107,940.38
  4. Step 4: Simplify right side
    197,364.38x = 29,399,646,269.44
  5. Step 5: Solve for x
    x = 29,399,646,269.44/197,364.38
  6. Step 6: Final answer
    x = 148,961.26

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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.