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Finding the Fourth Proportional to 82,546.90, 123,813.15 and 27,142.90

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Solution

The fourth proportional to 82,546.90, 123,813.15 and 27,142.90 is: 40,711.98

Step by Step Solution

  1. Step 1: Write the proportion equation
    82,546.90 : 123,813.15 = 27,142.90 : x
  2. Step 2: Convert to fraction form
    82,546.90/123,813.15 = 27,142.90/x
  3. Step 3: Cross multiply
    82,546.90x = 123,813.15 × 27,142.90
  4. Step 4: Simplify right side
    82,546.90x = 3,360,647,949.14
  5. Step 5: Solve for x
    x = 3,360,647,949.14/82,546.90
  6. Step 6: Final answer
    x = 40,711.98

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1.5x scale

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.