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Finding the Fourth Proportional to 201,568.44, 278,135.10 and 120,978.84

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Solution

The fourth proportional to 201,568.44, 278,135.10 and 120,978.84 is: 166,933.19

Step by Step Solution

  1. Step 1: Write the proportion equation
    201,568.44 : 278,135.10 = 120,978.84 : x
  2. Step 2: Convert to fraction form
    201,568.44/278,135.10 = 120,978.84/x
  3. Step 3: Cross multiply
    201,568.44x = 278,135.10 × 120,978.84
  4. Step 4: Simplify right side
    201,568.44x = 33,648,461,761.28
  5. Step 5: Solve for x
    x = 33,648,461,761.28/201,568.44
  6. Step 6: Final answer
    x = 166,933.19

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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.