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Finding the Fourth Proportional to 135,197.58, 186,571.57 and 74,770.77

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Solution

The fourth proportional to 135,197.58, 186,571.57 and 74,770.77 is: 103,183.06

Step by Step Solution

  1. Step 1: Write the proportion equation
    135,197.58 : 186,571.57 = 74,770.77 : x
  2. Step 2: Convert to fraction form
    135,197.58/186,571.57 = 74,770.77/x
  3. Step 3: Cross multiply
    135,197.58x = 186,571.57 × 74,770.77
  4. Step 4: Simplify right side
    135,197.58x = 13,950,099,295.65
  5. Step 5: Solve for x
    x = 13,950,099,295.65/135,197.58
  6. Step 6: Final answer
    x = 103,183.06

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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.