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Finding the Fourth Proportional to 100,324.69, 150,470.63 and 30,187.60

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Solution

The fourth proportional to 100,324.69, 150,470.63 and 30,187.60 is: 45,276.46

Step by Step Solution

  1. Step 1: Write the proportion equation
    100,324.69 : 150,470.63 = 30,187.60 : x
  2. Step 2: Convert to fraction form
    100,324.69/150,470.63 = 30,187.60/x
  3. Step 3: Cross multiply
    100,324.69x = 150,470.63 × 30,187.60
  4. Step 4: Simplify right side
    100,324.69x = 4,542,346,663.07
  5. Step 5: Solve for x
    x = 4,542,346,663.07/100,324.69
  6. Step 6: Final answer
    x = 45,276.46

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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.