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Finding the Fourth Proportional to 281,228.56, 421,755.93 and 81,563.63

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Solution

The fourth proportional to 281,228.56, 421,755.93 and 81,563.63 is: 122,320.23

Step by Step Solution

  1. Step 1: Write the proportion equation
    281,228.56 : 421,755.93 = 81,563.63 : x
  2. Step 2: Convert to fraction form
    281,228.56/421,755.93 = 81,563.63/x
  3. Step 3: Cross multiply
    281,228.56x = 421,755.93 × 81,563.63
  4. Step 4: Simplify right side
    281,228.56x = 34,399,942,516.05
  5. Step 5: Solve for x
    x = 34,399,942,516.05/281,228.56
  6. Step 6: Final answer
    x = 122,320.23

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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.