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Finding the Fourth Proportional to 201,717.63, 278,286.84 and 120,029.58

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Solution

The fourth proportional to 201,717.63, 278,286.84 and 120,029.58 is: 165,591.14

Step by Step Solution

  1. Step 1: Write the proportion equation
    201,717.63 : 278,286.84 = 120,029.58 : x
  2. Step 2: Convert to fraction form
    201,717.63/278,286.84 = 120,029.58/x
  3. Step 3: Cross multiply
    201,717.63x = 278,286.84 × 120,029.58
  4. Step 4: Simplify right side
    201,717.63x = 33,402,652,524.73
  5. Step 5: Solve for x
    x = 33,402,652,524.73/201,717.63
  6. Step 6: Final answer
    x = 165,591.14

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1.5x scale

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.