Home / 82,642-123,913.70-32,729.26

Finding the Fourth Proportional to 82,642, 123,913.70 and 32,729.26

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Solution

The fourth proportional to 82,642, 123,913.70 and 32,729.26 is: 49,074.37

Step by Step Solution

  1. Step 1: Write the proportion equation
    82,642 : 123,913.70 = 32,729.26 : x
  2. Step 2: Convert to fraction form
    82,642/123,913.70 = 32,729.26/x
  3. Step 3: Cross multiply
    82,642x = 123,913.70 × 32,729.26
  4. Step 4: Simplify right side
    82,642x = 4,055,603,704.86
  5. Step 5: Solve for x
    x = 4,055,603,704.86/82,642
  6. Step 6: Final answer
    x = 49,074.37

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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.