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Finding the Fourth Proportional to 281,100.81, 421,692.89 and 81,396.27

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Solution

The fourth proportional to 281,100.81, 421,692.89 and 81,396.27 is: 122,106.47

Step by Step Solution

  1. Step 1: Write the proportion equation
    281,100.81 : 421,692.89 = 81,396.27 : x
  2. Step 2: Convert to fraction form
    281,100.81/421,692.89 = 81,396.27/x
  3. Step 3: Cross multiply
    281,100.81x = 421,692.89 × 81,396.27
  4. Step 4: Simplify right side
    281,100.81x = 34,324,228,331.52
  5. Step 5: Solve for x
    x = 34,324,228,331.52/281,100.81
  6. Step 6: Final answer
    x = 122,106.47

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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.