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Finding the Fourth Proportional to 54,408.70, 81,617.10 and 19,343.80

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Solution

The fourth proportional to 54,408.70, 81,617.10 and 19,343.80 is: 29,017.14

Step by Step Solution

  1. Step 1: Write the proportion equation
    54,408.70 : 81,617.10 = 19,343.80 : x
  2. Step 2: Convert to fraction form
    54,408.70/81,617.10 = 19,343.80/x
  3. Step 3: Cross multiply
    54,408.70x = 81,617.10 × 19,343.80
  4. Step 4: Simplify right side
    54,408.70x = 1,578,784,858.98
  5. Step 5: Solve for x
    x = 1,578,784,858.98/54,408.70
  6. Step 6: Final answer
    x = 29,017.14

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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.