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Finding the Fourth Proportional to 72,767.56, 109,193.46 and 30,644.68

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Solution

The fourth proportional to 72,767.56, 109,193.46 and 30,644.68 is: 45,984.76

Step by Step Solution

  1. Step 1: Write the proportion equation
    72,767.56 : 109,193.46 = 30,644.68 : x
  2. Step 2: Convert to fraction form
    72,767.56/109,193.46 = 30,644.68/x
  3. Step 3: Cross multiply
    72,767.56x = 109,193.46 × 30,644.68
  4. Step 4: Simplify right side
    72,767.56x = 3,346,198,639.79
  5. Step 5: Solve for x
    x = 3,346,198,639.79/72,767.56
  6. Step 6: Final answer
    x = 45,984.76

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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.