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Finding the Fourth Proportional to 72,174.49, 108,276.32 and 30,057.73

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Solution

The fourth proportional to 72,174.49, 108,276.32 and 30,057.73 is: 45,092.67

Step by Step Solution

  1. Step 1: Write the proportion equation
    72,174.49 : 108,276.32 = 30,057.73 : x
  2. Step 2: Convert to fraction form
    72,174.49/108,276.32 = 30,057.73/x
  3. Step 3: Cross multiply
    72,174.49x = 108,276.32 × 30,057.73
  4. Step 4: Simplify right side
    72,174.49x = 3,254,540,241.66
  5. Step 5: Solve for x
    x = 3,254,540,241.66/72,174.49
  6. Step 6: Final answer
    x = 45,092.67

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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.