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Finding the Fourth Proportional to 120,940.70, 181,411.42 and 36,701.54

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Solution

The fourth proportional to 120,940.70, 181,411.42 and 36,701.54 is: 55,052.42

Step by Step Solution

  1. Step 1: Write the proportion equation
    120,940.70 : 181,411.42 = 36,701.54 : x
  2. Step 2: Convert to fraction form
    120,940.70/181,411.42 = 36,701.54/x
  3. Step 3: Cross multiply
    120,940.70x = 181,411.42 × 36,701.54
  4. Step 4: Simplify right side
    120,940.70x = 6,658,078,487.59
  5. Step 5: Solve for x
    x = 6,658,078,487.59/120,940.70
  6. Step 6: Final answer
    x = 55,052.42

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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.