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Finding the Fourth Proportional to 99,803.10, 149,728.54 and 33,243.78

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Solution

The fourth proportional to 99,803.10, 149,728.54 and 33,243.78 is: 49,873.63

Step by Step Solution

  1. Step 1: Write the proportion equation
    99,803.10 : 149,728.54 = 33,243.78 : x
  2. Step 2: Convert to fraction form
    99,803.10/149,728.54 = 33,243.78/x
  3. Step 3: Cross multiply
    99,803.10x = 149,728.54 × 33,243.78
  4. Step 4: Simplify right side
    99,803.10x = 4,977,542,643.48
  5. Step 5: Solve for x
    x = 4,977,542,643.48/99,803.10
  6. Step 6: Final answer
    x = 49,873.63

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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.