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Finding the Fourth Proportional to 201,814.30, 302,505.45 and 68,571.10

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Solution

The fourth proportional to 201,814.30, 302,505.45 and 68,571.10 is: 102,783.26

Step by Step Solution

  1. Step 1: Write the proportion equation
    201,814.30 : 302,505.45 = 68,571.10 : x
  2. Step 2: Convert to fraction form
    201,814.30/302,505.45 = 68,571.10/x
  3. Step 3: Cross multiply
    201,814.30x = 302,505.45 × 68,571.10
  4. Step 4: Simplify right side
    201,814.30x = 20,743,131,462.50
  5. Step 5: Solve for x
    x = 20,743,131,462.50/201,814.30
  6. Step 6: Final answer
    x = 102,783.26

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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.