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Finding the Fourth Proportional to 201,175.70, 301,674.45 and 68,019.80

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Solution

The fourth proportional to 201,175.70, 301,674.45 and 68,019.80 is: 101,999.57

Step by Step Solution

  1. Step 1: Write the proportion equation
    201,175.70 : 301,674.45 = 68,019.80 : x
  2. Step 2: Convert to fraction form
    201,175.70/301,674.45 = 68,019.80/x
  3. Step 3: Cross multiply
    201,175.70x = 301,674.45 × 68,019.80
  4. Step 4: Simplify right side
    201,175.70x = 20,519,835,754.11
  5. Step 5: Solve for x
    x = 20,519,835,754.11/201,175.70
  6. Step 6: Final answer
    x = 101,999.57

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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.