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Finding the Fourth Proportional to 101,796.80, 152,769.09 and 71,612.56

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Solution

The fourth proportional to 101,796.80, 152,769.09 and 71,612.56 is: 107,470.81

Step by Step Solution

  1. Step 1: Write the proportion equation
    101,796.80 : 152,769.09 = 71,612.56 : x
  2. Step 2: Convert to fraction form
    101,796.80/152,769.09 = 71,612.56/x
  3. Step 3: Cross multiply
    101,796.80x = 152,769.09 × 71,612.56
  4. Step 4: Simplify right side
    101,796.80x = 10,940,184,821.13
  5. Step 5: Solve for x
    x = 10,940,184,821.13/101,796.80
  6. Step 6: Final answer
    x = 107,470.81

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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.