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Finding the Fourth Proportional to 82,515.78, 123,778.41 and 23,346.48

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Solution

The fourth proportional to 82,515.78, 123,778.41 and 23,346.48 is: 35,021.06

Step by Step Solution

  1. Step 1: Write the proportion equation
    82,515.78 : 123,778.41 = 23,346.48 : x
  2. Step 2: Convert to fraction form
    82,515.78/123,778.41 = 23,346.48/x
  3. Step 3: Cross multiply
    82,515.78x = 123,778.41 × 23,346.48
  4. Step 4: Simplify right side
    82,515.78x = 2,889,790,173.50
  5. Step 5: Solve for x
    x = 2,889,790,173.50/82,515.78
  6. Step 6: Final answer
    x = 35,021.06

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.