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Finding the Fourth Proportional to 100,650.36, 150,976.08 and 30,529.74

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Solution

The fourth proportional to 100,650.36, 150,976.08 and 30,529.74 is: 45,794.77

Step by Step Solution

  1. Step 1: Write the proportion equation
    100,650.36 : 150,976.08 = 30,529.74 : x
  2. Step 2: Convert to fraction form
    100,650.36/150,976.08 = 30,529.74/x
  3. Step 3: Cross multiply
    100,650.36x = 150,976.08 × 30,529.74
  4. Step 4: Simplify right side
    100,650.36x = 4,609,260,468.62
  5. Step 5: Solve for x
    x = 4,609,260,468.62/100,650.36
  6. Step 6: Final answer
    x = 45,794.77

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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.