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Finding the Fourth Proportional to 201,361.65, 302,021.67 and 68,238.45

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Solution

The fourth proportional to 201,361.65, 302,021.67 and 68,238.45 is: 102,350.62

Step by Step Solution

  1. Step 1: Write the proportion equation
    201,361.65 : 302,021.67 = 68,238.45 : x
  2. Step 2: Convert to fraction form
    201,361.65/302,021.67 = 68,238.45/x
  3. Step 3: Cross multiply
    201,361.65x = 302,021.67 × 68,238.45
  4. Step 4: Simplify right side
    201,361.65x = 20,609,490,627.21
  5. Step 5: Solve for x
    x = 20,609,490,627.21/201,361.65
  6. Step 6: Final answer
    x = 102,350.62

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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.