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Finding the Fourth Proportional to 54,122, 81,183.16 and 21,290

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Solution

The fourth proportional to 54,122, 81,183.16 and 21,290 is: 31,935.06

Step by Step Solution

  1. Step 1: Write the proportion equation
    54,122 : 81,183.16 = 21,290 : x
  2. Step 2: Convert to fraction form
    54,122/81,183.16 = 21,290/x
  3. Step 3: Cross multiply
    54,122x = 81,183.16 × 21,290
  4. Step 4: Simplify right side
    54,122x = 1,728,389,476.40
  5. Step 5: Solve for x
    x = 1,728,389,476.40/54,122
  6. Step 6: Final answer
    x = 31,935.06

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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.