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Finding the Fourth Proportional to 72,800, 109,200.60 and 20,213.58

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Solution

The fourth proportional to 72,800, 109,200.60 and 20,213.58 is: 30,320.54

Step by Step Solution

  1. Step 1: Write the proportion equation
    72,800 : 109,200.60 = 20,213.58 : x
  2. Step 2: Convert to fraction form
    72,800/109,200.60 = 20,213.58/x
  3. Step 3: Cross multiply
    72,800x = 109,200.60 × 20,213.58
  4. Step 4: Simplify right side
    72,800x = 2,207,335,064.15
  5. Step 5: Solve for x
    x = 2,207,335,064.15/72,800
  6. Step 6: Final answer
    x = 30,320.54

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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.