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Finding the Fourth Proportional to 201,517.44, 278,064.72 and 120,927.84

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Solution

The fourth proportional to 201,517.44, 278,064.72 and 120,927.84 is: 166,862.81

Step by Step Solution

  1. Step 1: Write the proportion equation
    201,517.44 : 278,064.72 = 120,927.84 : x
  2. Step 2: Convert to fraction form
    201,517.44/278,064.72 = 120,927.84/x
  3. Step 3: Cross multiply
    201,517.44x = 278,064.72 × 120,927.84
  4. Step 4: Simplify right side
    201,517.44x = 33,625,765,969.80
  5. Step 5: Solve for x
    x = 33,625,765,969.80/201,517.44
  6. Step 6: Final answer
    x = 166,862.81

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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.