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Finding the Fourth Proportional to 70,642.90, 105,964.40 and 18,052.44

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Solution

The fourth proportional to 70,642.90, 105,964.40 and 18,052.44 is: 27,078.67

Step by Step Solution

  1. Step 1: Write the proportion equation
    70,642.90 : 105,964.40 = 18,052.44 : x
  2. Step 2: Convert to fraction form
    70,642.90/105,964.40 = 18,052.44/x
  3. Step 3: Cross multiply
    70,642.90x = 105,964.40 × 18,052.44
  4. Step 4: Simplify right side
    70,642.90x = 1,912,915,620.90
  5. Step 5: Solve for x
    x = 1,912,915,620.90/70,642.90
  6. Step 6: Final answer
    x = 27,078.67

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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.