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Finding the Fourth Proportional to 66,491.89, 99,738.24 and 54,757.42

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Solution

The fourth proportional to 66,491.89, 99,738.24 and 54,757.42 is: 82,136.46

Step by Step Solution

  1. Step 1: Write the proportion equation
    66,491.89 : 99,738.24 = 54,757.42 : x
  2. Step 2: Convert to fraction form
    66,491.89/99,738.24 = 54,757.42/x
  3. Step 3: Cross multiply
    66,491.89x = 99,738.24 × 54,757.42
  4. Step 4: Simplify right side
    66,491.89x = 5,461,408,243.05
  5. Step 5: Solve for x
    x = 5,461,408,243.05/66,491.89
  6. Step 6: Final answer
    x = 82,136.46

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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.