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Finding the Fourth Proportional to 72,704.82, 108,979.47 and 33,202.74

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Solution

The fourth proportional to 72,704.82, 108,979.47 and 33,202.74 is: 49,768.60

Step by Step Solution

  1. Step 1: Write the proportion equation
    72,704.82 : 108,979.47 = 33,202.74 : x
  2. Step 2: Convert to fraction form
    72,704.82/108,979.47 = 33,202.74/x
  3. Step 3: Cross multiply
    72,704.82x = 108,979.47 × 33,202.74
  4. Step 4: Simplify right side
    72,704.82x = 3,618,417,007.75
  5. Step 5: Solve for x
    x = 3,618,417,007.75/72,704.82
  6. Step 6: Final answer
    x = 49,768.60

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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.