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Finding the Fourth Proportional to 100,474.80, 150,740.20 and 81,929.96

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Solution

The fourth proportional to 100,474.80, 150,740.20 and 81,929.96 is: 122,917.77

Step by Step Solution

  1. Step 1: Write the proportion equation
    100,474.80 : 150,740.20 = 81,929.96 : x
  2. Step 2: Convert to fraction form
    100,474.80/150,740.20 = 81,929.96/x
  3. Step 3: Cross multiply
    100,474.80x = 150,740.20 × 81,929.96
  4. Step 4: Simplify right side
    100,474.80x = 12,350,138,556.39
  5. Step 5: Solve for x
    x = 12,350,138,556.39/100,474.80
  6. Step 6: Final answer
    x = 122,917.77

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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.