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Finding the Fourth Proportional to 201,728.70, 302,505.56 and 68,573.20

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Solution

The fourth proportional to 201,728.70, 302,505.56 and 68,573.20 is: 102,830.06

Step by Step Solution

  1. Step 1: Write the proportion equation
    201,728.70 : 302,505.56 = 68,573.20 : x
  2. Step 2: Convert to fraction form
    201,728.70/302,505.56 = 68,573.20/x
  3. Step 3: Cross multiply
    201,728.70x = 302,505.56 × 68,573.20
  4. Step 4: Simplify right side
    201,728.70x = 20,743,774,266.99
  5. Step 5: Solve for x
    x = 20,743,774,266.99/201,728.70
  6. Step 6: Final answer
    x = 102,830.06

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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.