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Finding the Fourth Proportional to 99,850.30, 149,776.78 and 33,290.45

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Solution

The fourth proportional to 99,850.30, 149,776.78 and 33,290.45 is: 49,936.12

Step by Step Solution

  1. Step 1: Write the proportion equation
    99,850.30 : 149,776.78 = 33,290.45 : x
  2. Step 2: Convert to fraction form
    99,850.30/149,776.78 = 33,290.45/x
  3. Step 3: Cross multiply
    99,850.30x = 149,776.78 × 33,290.45
  4. Step 4: Simplify right side
    99,850.30x = 4,986,136,780.19
  5. Step 5: Solve for x
    x = 4,986,136,780.19/99,850.30
  6. Step 6: Final answer
    x = 49,936.12

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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.