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Finding the Fourth Proportional to 201,212, 301,358.73 and 96,104.78

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Solution

The fourth proportional to 201,212, 301,358.73 and 96,104.78 is: 143,937.81

Step by Step Solution

  1. Step 1: Write the proportion equation
    201,212 : 301,358.73 = 96,104.78 : x
  2. Step 2: Convert to fraction form
    201,212/301,358.73 = 96,104.78/x
  3. Step 3: Cross multiply
    201,212x = 301,358.73 × 96,104.78
  4. Step 4: Simplify right side
    201,212x = 28,962,014,447.73
  5. Step 5: Solve for x
    x = 28,962,014,447.73/201,212
  6. Step 6: Final answer
    x = 143,937.81

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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.