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Finding the Fourth Proportional to 72,119.43, 108,174.29 and 30,566.43

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Solution

The fourth proportional to 72,119.43, 108,174.29 and 30,566.43 is: 45,847.59

Step by Step Solution

  1. Step 1: Write the proportion equation
    72,119.43 : 108,174.29 = 30,566.43 : x
  2. Step 2: Convert to fraction form
    72,119.43/108,174.29 = 30,566.43/x
  3. Step 3: Cross multiply
    72,119.43x = 108,174.29 × 30,566.43
  4. Step 4: Simplify right side
    72,119.43x = 3,306,501,710.25
  5. Step 5: Solve for x
    x = 3,306,501,710.25/72,119.43
  6. Step 6: Final answer
    x = 45,847.59

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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.