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Finding the Fourth Proportional to 82,122.44, 123,183.44 and 19,792.94

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Solution

The fourth proportional to 82,122.44, 123,183.44 and 19,792.94 is: 29,689.35

Step by Step Solution

  1. Step 1: Write the proportion equation
    82,122.44 : 123,183.44 = 19,792.94 : x
  2. Step 2: Convert to fraction form
    82,122.44/123,183.44 = 19,792.94/x
  3. Step 3: Cross multiply
    82,122.44x = 123,183.44 × 19,792.94
  4. Step 4: Simplify right side
    82,122.44x = 2,438,161,722.03
  5. Step 5: Solve for x
    x = 2,438,161,722.03/82,122.44
  6. Step 6: Final answer
    x = 29,689.35

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1.5x scale

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.