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Finding the Fourth Proportional to 140,668.21, 194,123.01 and 80,238.21

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Solution

The fourth proportional to 140,668.21, 194,123.01 and 80,238.21 is: 110,729.23

Step by Step Solution

  1. Step 1: Write the proportion equation
    140,668.21 : 194,123.01 = 80,238.21 : x
  2. Step 2: Convert to fraction form
    140,668.21/194,123.01 = 80,238.21/x
  3. Step 3: Cross multiply
    140,668.21x = 194,123.01 × 80,238.21
  4. Step 4: Simplify right side
    140,668.21x = 15,576,082,842.21
  5. Step 5: Solve for x
    x = 15,576,082,842.21/140,668.21
  6. Step 6: Final answer
    x = 110,729.23

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1.5x scale

Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.