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Finding the Fourth Proportional to 103,857.80, 155,675.44 and 74,185.64

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Solution

The fourth proportional to 103,857.80, 155,675.44 and 74,185.64 is: 111,198.99

Step by Step Solution

  1. Step 1: Write the proportion equation
    103,857.80 : 155,675.44 = 74,185.64 : x
  2. Step 2: Convert to fraction form
    103,857.80/155,675.44 = 74,185.64/x
  3. Step 3: Cross multiply
    103,857.80x = 155,675.44 × 74,185.64
  4. Step 4: Simplify right side
    103,857.80x = 11,548,882,148.68
  5. Step 5: Solve for x
    x = 11,548,882,148.68/103,857.80
  6. Step 6: Final answer
    x = 111,198.99

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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.