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Finding the Fourth Proportional to 120,540.75, 180,811.13 and 46,668.75

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Solution

The fourth proportional to 120,540.75, 180,811.13 and 46,668.75 is: 70,003.13

Step by Step Solution

  1. Step 1: Write the proportion equation
    120,540.75 : 180,811.13 = 46,668.75 : x
  2. Step 2: Convert to fraction form
    120,540.75/180,811.13 = 46,668.75/x
  3. Step 3: Cross multiply
    120,540.75x = 180,811.13 × 46,668.75
  4. Step 4: Simplify right side
    120,540.75x = 8,438,229,189.84
  5. Step 5: Solve for x
    x = 8,438,229,189.84/120,540.75
  6. Step 6: Final answer
    x = 70,003.13

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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.