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Finding the Fourth Proportional to 100,628.87, 150,948.63 and 25,749.54

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Solution

The fourth proportional to 100,628.87, 150,948.63 and 25,749.54 is: 38,625.67

Step by Step Solution

  1. Step 1: Write the proportion equation
    100,628.87 : 150,948.63 = 25,749.54 : x
  2. Step 2: Convert to fraction form
    100,628.87/150,948.63 = 25,749.54/x
  3. Step 3: Cross multiply
    100,628.87x = 150,948.63 × 25,749.54
  4. Step 4: Simplify right side
    100,628.87x = 3,886,857,786.13
  5. Step 5: Solve for x
    x = 3,886,857,786.13/100,628.87
  6. Step 6: Final answer
    x = 38,625.67

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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.