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Finding the Fourth Proportional to 281,786.06, 422,703.70 and 71,424

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Solution

The fourth proportional to 281,786.06, 422,703.70 and 71,424 is: 107,142.24

Step by Step Solution

  1. Step 1: Write the proportion equation
    281,786.06 : 422,703.70 = 71,424 : x
  2. Step 2: Convert to fraction form
    281,786.06/422,703.70 = 71,424/x
  3. Step 3: Cross multiply
    281,786.06x = 422,703.70 × 71,424
  4. Step 4: Simplify right side
    281,786.06x = 30,191,188,890.24
  5. Step 5: Solve for x
    x = 30,191,188,890.24/281,786.06
  6. Step 6: Final answer
    x = 107,142.24

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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.