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Finding the Fourth Proportional to 281,758.50, 422,662.35 and 71,396.44

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Solution

The fourth proportional to 281,758.50, 422,662.35 and 71,396.44 is: 107,100.89

Step by Step Solution

  1. Step 1: Write the proportion equation
    281,758.50 : 422,662.35 = 71,396.44 : x
  2. Step 2: Convert to fraction form
    281,758.50/422,662.35 = 71,396.44/x
  3. Step 3: Cross multiply
    281,758.50x = 422,662.35 × 71,396.44
  4. Step 4: Simplify right side
    281,758.50x = 30,176,586,323.11
  5. Step 5: Solve for x
    x = 30,176,586,323.11/281,758.50
  6. Step 6: Final answer
    x = 107,100.89

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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.