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Finding the Fourth Proportional to 99,790.70, 149,709.98 and 33,231.43

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Solution

The fourth proportional to 99,790.70, 149,709.98 and 33,231.43 is: 49,855.11

Step by Step Solution

  1. Step 1: Write the proportion equation
    99,790.70 : 149,709.98 = 33,231.43 : x
  2. Step 2: Convert to fraction form
    99,790.70/149,709.98 = 33,231.43/x
  3. Step 3: Cross multiply
    99,790.70x = 149,709.98 × 33,231.43
  4. Step 4: Simplify right side
    99,790.70x = 4,975,076,429.48
  5. Step 5: Solve for x
    x = 4,975,076,429.48/99,790.70
  6. Step 6: Final answer
    x = 49,855.11

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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.