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Finding the Fourth Proportional to 100,628.66, 150,970.20 and 34,068.80

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Solution

The fourth proportional to 100,628.66, 150,970.20 and 34,068.80 is: 51,112.41

Step by Step Solution

  1. Step 1: Write the proportion equation
    100,628.66 : 150,970.20 = 34,068.80 : x
  2. Step 2: Convert to fraction form
    100,628.66/150,970.20 = 34,068.80/x
  3. Step 3: Cross multiply
    100,628.66x = 150,970.20 × 34,068.80
  4. Step 4: Simplify right side
    100,628.66x = 5,143,372,794.91
  5. Step 5: Solve for x
    x = 5,143,372,794.91/100,628.66
  6. Step 6: Final answer
    x = 51,112.41

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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.