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Finding the Fourth Proportional to 72,805.67, 109,163.28 and 30,664.06

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Solution

The fourth proportional to 72,805.67, 109,163.28 and 30,664.06 is: 45,977.04

Step by Step Solution

  1. Step 1: Write the proportion equation
    72,805.67 : 109,163.28 = 30,664.06 : x
  2. Step 2: Convert to fraction form
    72,805.67/109,163.28 = 30,664.06/x
  3. Step 3: Cross multiply
    72,805.67x = 109,163.28 × 30,664.06
  4. Step 4: Simplify right side
    72,805.67x = 3,347,389,367.72
  5. Step 5: Solve for x
    x = 3,347,389,367.72/72,805.67
  6. Step 6: Final answer
    x = 45,977.04

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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.