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Finding the Fourth Proportional to 120,735.60, 181,103.40 and 41,857.80

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Solution

The fourth proportional to 120,735.60, 181,103.40 and 41,857.80 is: 62,786.70

Step by Step Solution

  1. Step 1: Write the proportion equation
    120,735.60 : 181,103.40 = 41,857.80 : x
  2. Step 2: Convert to fraction form
    120,735.60/181,103.40 = 41,857.80/x
  3. Step 3: Cross multiply
    120,735.60x = 181,103.40 × 41,857.80
  4. Step 4: Simplify right side
    120,735.60x = 7,580,589,896.52
  5. Step 5: Solve for x
    x = 7,580,589,896.52/120,735.60
  6. Step 6: Final answer
    x = 62,786.70

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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.