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Finding the Fourth Proportional to 201,289.88, 301,984.25 and 100,135.66

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Solution

The fourth proportional to 201,289.88, 301,984.25 and 100,135.66 is: 150,228.08

Step by Step Solution

  1. Step 1: Write the proportion equation
    201,289.88 : 301,984.25 = 100,135.66 : x
  2. Step 2: Convert to fraction form
    201,289.88/301,984.25 = 100,135.66/x
  3. Step 3: Cross multiply
    201,289.88x = 301,984.25 × 100,135.66
  4. Step 4: Simplify right side
    201,289.88x = 30,239,392,183.36
  5. Step 5: Solve for x
    x = 30,239,392,183.36/201,289.88
  6. Step 6: Final answer
    x = 150,228.08

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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.