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Finding the Fourth Proportional to 207,769, 311,542.62 and 107,828.59

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Solution

The fourth proportional to 207,769, 311,542.62 and 107,828.59 is: 161,685.34

Step by Step Solution

  1. Step 1: Write the proportion equation
    207,769 : 311,542.62 = 107,828.59 : x
  2. Step 2: Convert to fraction form
    207,769/311,542.62 = 107,828.59/x
  3. Step 3: Cross multiply
    207,769x = 311,542.62 × 107,828.59
  4. Step 4: Simplify right side
    207,769x = 33,593,201,439.51
  5. Step 5: Solve for x
    x = 33,593,201,439.51/207,769
  6. Step 6: Final answer
    x = 161,685.34

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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.