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Finding the Fourth Proportional to 82,142.20, 123,213.30 and 73,847.80

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Solution

The fourth proportional to 82,142.20, 123,213.30 and 73,847.80 is: 110,771.70

Step by Step Solution

  1. Step 1: Write the proportion equation
    82,142.20 : 123,213.30 = 73,847.80 : x
  2. Step 2: Convert to fraction form
    82,142.20/123,213.30 = 73,847.80/x
  3. Step 3: Cross multiply
    82,142.20x = 123,213.30 × 73,847.80
  4. Step 4: Simplify right side
    82,142.20x = 9,099,031,135.74
  5. Step 5: Solve for x
    x = 9,099,031,135.74/82,142.20
  6. Step 6: Final answer
    x = 110,771.70

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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.