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Finding the Fourth Proportional to 70,469, 105,692.24 and 20,537.42

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Solution

The fourth proportional to 70,469, 105,692.24 and 20,537.42 is: 30,802.85

Step by Step Solution

  1. Step 1: Write the proportion equation
    70,469 : 105,692.24 = 20,537.42 : x
  2. Step 2: Convert to fraction form
    70,469/105,692.24 = 20,537.42/x
  3. Step 3: Cross multiply
    70,469x = 105,692.24 × 20,537.42
  4. Step 4: Simplify right side
    70,469x = 2,170,645,923.62
  5. Step 5: Solve for x
    x = 2,170,645,923.62/70,469
  6. Step 6: Final answer
    x = 30,802.85

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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.