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Finding the Fourth Proportional to 73,036, 100,789.69 and 39,502

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Solution

The fourth proportional to 73,036, 100,789.69 and 39,502 is: 54,512.77

Step by Step Solution

  1. Step 1: Write the proportion equation
    73,036 : 100,789.69 = 39,502 : x
  2. Step 2: Convert to fraction form
    73,036/100,789.69 = 39,502/x
  3. Step 3: Cross multiply
    73,036x = 100,789.69 × 39,502
  4. Step 4: Simplify right side
    73,036x = 3,981,394,334.38
  5. Step 5: Solve for x
    x = 3,981,394,334.38/73,036
  6. Step 6: Final answer
    x = 54,512.77

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.