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Finding the Fourth Proportional to 70,050, 105,075 and 20,802

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Solution

The fourth proportional to 70,050, 105,075 and 20,802 is: 31,203

Step by Step Solution

  1. Step 1: Write the proportion equation
    70,050 : 105,075 = 20,802 : x
  2. Step 2: Convert to fraction form
    70,050/105,075 = 20,802/x
  3. Step 3: Cross multiply
    70,050x = 105,075 × 20,802
  4. Step 4: Simplify right side
    70,050x = 2,185,770,150
  5. Step 5: Solve for x
    x = 2,185,770,150/70,050
  6. Step 6: Final answer
    x = 31,203

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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.