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Finding the Fourth Proportional to 201,909.12, 303,001.92 and 108,443.52

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Solution

The fourth proportional to 201,909.12, 303,001.92 and 108,443.52 is: 162,739.53

Step by Step Solution

  1. Step 1: Write the proportion equation
    201,909.12 : 303,001.92 = 108,443.52 : x
  2. Step 2: Convert to fraction form
    201,909.12/303,001.92 = 108,443.52/x
  3. Step 3: Cross multiply
    201,909.12x = 303,001.92 × 108,443.52
  4. Step 4: Simplify right side
    201,909.12x = 32,858,594,771.56
  5. Step 5: Solve for x
    x = 32,858,594,771.56/201,909.12
  6. Step 6: Final answer
    x = 162,739.53

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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.