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Finding the Fourth Proportional to 201,288.88, 301,982.75 and 100,134.66

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Solution

The fourth proportional to 201,288.88, 301,982.75 and 100,134.66 is: 150,226.58

Step by Step Solution

  1. Step 1: Write the proportion equation
    201,288.88 : 301,982.75 = 100,134.66 : x
  2. Step 2: Convert to fraction form
    201,288.88/301,982.75 = 100,134.66/x
  3. Step 3: Cross multiply
    201,288.88x = 301,982.75 × 100,134.66
  4. Step 4: Simplify right side
    201,288.88x = 30,238,941,004.38
  5. Step 5: Solve for x
    x = 30,238,941,004.38/201,288.88
  6. Step 6: Final answer
    x = 150,226.58

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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.