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Finding the Fourth Proportional to 201,679.21, 278,306.74 and 111,017.46

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Solution

The fourth proportional to 201,679.21, 278,306.74 and 111,017.46 is: 153,198.28

Step by Step Solution

  1. Step 1: Write the proportion equation
    201,679.21 : 278,306.74 = 111,017.46 : x
  2. Step 2: Convert to fraction form
    201,679.21/278,306.74 = 111,017.46/x
  3. Step 3: Cross multiply
    201,679.21x = 278,306.74 × 111,017.46
  4. Step 4: Simplify right side
    201,679.21x = 30,896,907,375.68
  5. Step 5: Solve for x
    x = 30,896,907,375.68/201,679.21
  6. Step 6: Final answer
    x = 153,198.28

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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.