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Finding the Fourth Proportional to 201,974.78, 278,712.50 and 111,325.75

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Solution

The fourth proportional to 201,974.78, 278,712.50 and 111,325.75 is: 153,622.53

Step by Step Solution

  1. Step 1: Write the proportion equation
    201,974.78 : 278,712.50 = 111,325.75 : x
  2. Step 2: Convert to fraction form
    201,974.78/278,712.50 = 111,325.75/x
  3. Step 3: Cross multiply
    201,974.78x = 278,712.50 × 111,325.75
  4. Step 4: Simplify right side
    201,974.78x = 31,027,876,843.47
  5. Step 5: Solve for x
    x = 31,027,876,843.47/201,974.78
  6. Step 6: Final answer
    x = 153,622.53

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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.