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Finding the Fourth Proportional to 201,538.17, 301,660.88 and 133,914.92

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Solution

The fourth proportional to 201,538.17, 301,660.88 and 133,914.92 is: 200,442.88

Step by Step Solution

  1. Step 1: Write the proportion equation
    201,538.17 : 301,660.88 = 133,914.92 : x
  2. Step 2: Convert to fraction form
    201,538.17/301,660.88 = 133,914.92/x
  3. Step 3: Cross multiply
    201,538.17x = 301,660.88 × 133,914.92
  4. Step 4: Simplify right side
    201,538.17x = 40,396,890,434.45
  5. Step 5: Solve for x
    x = 40,396,890,434.45/201,538.17
  6. Step 6: Final answer
    x = 200,442.88

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1.5x scale

Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.