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Finding the Fourth Proportional to 281,763, 422,669.12 and 71,400.96

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Solution

The fourth proportional to 281,763, 422,669.12 and 71,400.96 is: 107,107.68

Step by Step Solution

  1. Step 1: Write the proportion equation
    281,763 : 422,669.12 = 71,400.96 : x
  2. Step 2: Convert to fraction form
    281,763/422,669.12 = 71,400.96/x
  3. Step 3: Cross multiply
    281,763x = 422,669.12 × 71,400.96
  4. Step 4: Simplify right side
    281,763x = 30,178,980,573.35
  5. Step 5: Solve for x
    x = 30,178,980,573.35/281,763
  6. Step 6: Final answer
    x = 107,107.68

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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.