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Finding the Fourth Proportional to 70,101.84, 105,137.03 and 20,170.80

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Solution

The fourth proportional to 70,101.84, 105,137.03 and 20,170.80 is: 30,251.67

Step by Step Solution

  1. Step 1: Write the proportion equation
    70,101.84 : 105,137.03 = 20,170.80 : x
  2. Step 2: Convert to fraction form
    70,101.84/105,137.03 = 20,170.80/x
  3. Step 3: Cross multiply
    70,101.84x = 105,137.03 × 20,170.80
  4. Step 4: Simplify right side
    70,101.84x = 2,120,698,004.72
  5. Step 5: Solve for x
    x = 2,120,698,004.72/70,101.84
  6. Step 6: Final answer
    x = 30,251.67

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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.