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Finding the Fourth Proportional to 201,287.94, 301,958.64 and 66,307.38

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Solution

The fourth proportional to 201,287.94, 301,958.64 and 66,307.38 is: 99,469.88

Step by Step Solution

  1. Step 1: Write the proportion equation
    201,287.94 : 301,958.64 = 66,307.38 : x
  2. Step 2: Convert to fraction form
    201,287.94/301,958.64 = 66,307.38/x
  3. Step 3: Cross multiply
    201,287.94x = 301,958.64 × 66,307.38
  4. Step 4: Simplify right side
    201,287.94x = 20,022,086,286.76
  5. Step 5: Solve for x
    x = 20,022,086,286.76/201,287.94
  6. Step 6: Final answer
    x = 99,469.88

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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.