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Finding the Fourth Proportional to 100,498.20, 150,617.70 and 47,794.20

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Solution

The fourth proportional to 100,498.20, 150,617.70 and 47,794.20 is: 71,629.67

Step by Step Solution

  1. Step 1: Write the proportion equation
    100,498.20 : 150,617.70 = 47,794.20 : x
  2. Step 2: Convert to fraction form
    100,498.20/150,617.70 = 47,794.20/x
  3. Step 3: Cross multiply
    100,498.20x = 150,617.70 × 47,794.20
  4. Step 4: Simplify right side
    100,498.20x = 7,198,652,477.34
  5. Step 5: Solve for x
    x = 7,198,652,477.34/100,498.20
  6. Step 6: Final answer
    x = 71,629.67

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1.5x scale

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.