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Finding the Fourth Proportional to 100,415.62, 150,624.51 and 30,295.54

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Solution

The fourth proportional to 100,415.62, 150,624.51 and 30,295.54 is: 45,443.64

Step by Step Solution

  1. Step 1: Write the proportion equation
    100,415.62 : 150,624.51 = 30,295.54 : x
  2. Step 2: Convert to fraction form
    100,415.62/150,624.51 = 30,295.54/x
  3. Step 3: Cross multiply
    100,415.62x = 150,624.51 × 30,295.54
  4. Step 4: Simplify right side
    100,415.62x = 4,563,250,867.69
  5. Step 5: Solve for x
    x = 4,563,250,867.69/100,415.62
  6. Step 6: Final answer
    x = 45,443.64

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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.