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Finding the Fourth Proportional to 126,075, 189,144.90 and 47,190.36

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Solution

The fourth proportional to 126,075, 189,144.90 and 47,190.36 is: 70,797.67

Step by Step Solution

  1. Step 1: Write the proportion equation
    126,075 : 189,144.90 = 47,190.36 : x
  2. Step 2: Convert to fraction form
    126,075/189,144.90 = 47,190.36/x
  3. Step 3: Cross multiply
    126,075x = 189,144.90 × 47,190.36
  4. Step 4: Simplify right side
    126,075x = 8,925,815,923.16
  5. Step 5: Solve for x
    x = 8,925,815,923.16/126,075
  6. Step 6: Final answer
    x = 70,797.67

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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.