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Finding the Fourth Proportional to 100,906.20, 151,353.81 and 30,780

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Solution

The fourth proportional to 100,906.20, 151,353.81 and 30,780 is: 46,168.33

Step by Step Solution

  1. Step 1: Write the proportion equation
    100,906.20 : 151,353.81 = 30,780 : x
  2. Step 2: Convert to fraction form
    100,906.20/151,353.81 = 30,780/x
  3. Step 3: Cross multiply
    100,906.20x = 151,353.81 × 30,780
  4. Step 4: Simplify right side
    100,906.20x = 4,658,670,271.80
  5. Step 5: Solve for x
    x = 4,658,670,271.80/100,906.20
  6. Step 6: Final answer
    x = 46,168.33

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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.