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Finding the Fourth Proportional to 99,908.56, 149,765.44 and 39,919.15

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Solution

The fourth proportional to 99,908.56, 149,765.44 and 39,919.15 is: 59,839.81

Step by Step Solution

  1. Step 1: Write the proportion equation
    99,908.56 : 149,765.44 = 39,919.15 : x
  2. Step 2: Convert to fraction form
    99,908.56/149,765.44 = 39,919.15/x
  3. Step 3: Cross multiply
    99,908.56x = 149,765.44 × 39,919.15
  4. Step 4: Simplify right side
    99,908.56x = 5,978,509,064.18
  5. Step 5: Solve for x
    x = 5,978,509,064.18/99,908.56
  6. Step 6: Final answer
    x = 59,839.81

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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.