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Finding the Fourth Proportional to 99,997.80, 149,823.90 and 82,372.20

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Solution

The fourth proportional to 99,997.80, 149,823.90 and 82,372.20 is: 123,415.96

Step by Step Solution

  1. Step 1: Write the proportion equation
    99,997.80 : 149,823.90 = 82,372.20 : x
  2. Step 2: Convert to fraction form
    99,997.80/149,823.90 = 82,372.20/x
  3. Step 3: Cross multiply
    99,997.80x = 149,823.90 × 82,372.20
  4. Step 4: Simplify right side
    99,997.80x = 12,341,324,255.58
  5. Step 5: Solve for x
    x = 12,341,324,255.58/99,997.80
  6. Step 6: Final answer
    x = 123,415.96

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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.