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Finding the Fourth Proportional to 120,640.40, 181,014.60 and 41,811.20

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Solution

The fourth proportional to 120,640.40, 181,014.60 and 41,811.20 is: 62,735.52

Step by Step Solution

  1. Step 1: Write the proportion equation
    120,640.40 : 181,014.60 = 41,811.20 : x
  2. Step 2: Convert to fraction form
    120,640.40/181,014.60 = 41,811.20/x
  3. Step 3: Cross multiply
    120,640.40x = 181,014.60 × 41,811.20
  4. Step 4: Simplify right side
    120,640.40x = 7,568,437,643.52
  5. Step 5: Solve for x
    x = 7,568,437,643.52/120,640.40
  6. Step 6: Final answer
    x = 62,735.52

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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.