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Finding the Fourth Proportional to 281,396.52, 422,055.72 and 71,021.88

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Solution

The fourth proportional to 281,396.52, 422,055.72 and 71,021.88 is: 106,522.96

Step by Step Solution

  1. Step 1: Write the proportion equation
    281,396.52 : 422,055.72 = 71,021.88 : x
  2. Step 2: Convert to fraction form
    281,396.52/422,055.72 = 71,021.88/x
  3. Step 3: Cross multiply
    281,396.52x = 422,055.72 × 71,021.88
  4. Step 4: Simplify right side
    281,396.52x = 29,975,190,699.15
  5. Step 5: Solve for x
    x = 29,975,190,699.15/281,396.52
  6. Step 6: Final answer
    x = 106,522.96

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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.