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Finding the Fourth Proportional to 201,620.42, 278,234 and 110,974.46

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Solution

The fourth proportional to 201,620.42, 278,234 and 110,974.46 is: 153,143.56

Step by Step Solution

  1. Step 1: Write the proportion equation
    201,620.42 : 278,234 = 110,974.46 : x
  2. Step 2: Convert to fraction form
    201,620.42/278,234 = 110,974.46/x
  3. Step 3: Cross multiply
    201,620.42x = 278,234 × 110,974.46
  4. Step 4: Simplify right side
    201,620.42x = 30,876,867,903.64
  5. Step 5: Solve for x
    x = 30,876,867,903.64/201,620.42
  6. Step 6: Final answer
    x = 153,143.56

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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.