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Finding the Fourth Proportional to 201,033.86, 301,504.73 and 120,003.78

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Solution

The fourth proportional to 201,033.86, 301,504.73 and 120,003.78 is: 179,978.18

Step by Step Solution

  1. Step 1: Write the proportion equation
    201,033.86 : 301,504.73 = 120,003.78 : x
  2. Step 2: Convert to fraction form
    201,033.86/301,504.73 = 120,003.78/x
  3. Step 3: Cross multiply
    201,033.86x = 301,504.73 × 120,003.78
  4. Step 4: Simplify right side
    201,033.86x = 36,181,707,287.88
  5. Step 5: Solve for x
    x = 36,181,707,287.88/201,033.86
  6. Step 6: Final answer
    x = 179,978.18

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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.