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Finding the Fourth Proportional to 89,733, 123,834.10 and 49,991.56

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Solution

The fourth proportional to 89,733, 123,834.10 and 49,991.56 is: 68,989.78

Step by Step Solution

  1. Step 1: Write the proportion equation
    89,733 : 123,834.10 = 49,991.56 : x
  2. Step 2: Convert to fraction form
    89,733/123,834.10 = 49,991.56/x
  3. Step 3: Cross multiply
    89,733x = 123,834.10 × 49,991.56
  4. Step 4: Simplify right side
    89,733x = 6,190,659,840.20
  5. Step 5: Solve for x
    x = 6,190,659,840.20/89,733
  6. Step 6: Final answer
    x = 68,989.78

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1.5x scale

Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.