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Finding the Fourth Proportional to 72,122.62, 108,183.94 and 19,532.12

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Solution

The fourth proportional to 72,122.62, 108,183.94 and 19,532.12 is: 29,298.18

Step by Step Solution

  1. Step 1: Write the proportion equation
    72,122.62 : 108,183.94 = 19,532.12 : x
  2. Step 2: Convert to fraction form
    72,122.62/108,183.94 = 19,532.12/x
  3. Step 3: Cross multiply
    72,122.62x = 108,183.94 × 19,532.12
  4. Step 4: Simplify right side
    72,122.62x = 2,113,061,698.15
  5. Step 5: Solve for x
    x = 2,113,061,698.15/72,122.62
  6. Step 6: Final answer
    x = 29,298.18

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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.