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Finding the Fourth Proportional to 121,771.44, 182,632.86 and 45,855

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Solution

The fourth proportional to 121,771.44, 182,632.86 and 45,855 is: 68,773.35

Step by Step Solution

  1. Step 1: Write the proportion equation
    121,771.44 : 182,632.86 = 45,855 : x
  2. Step 2: Convert to fraction form
    121,771.44/182,632.86 = 45,855/x
  3. Step 3: Cross multiply
    121,771.44x = 182,632.86 × 45,855
  4. Step 4: Simplify right side
    121,771.44x = 8,374,629,795.30
  5. Step 5: Solve for x
    x = 8,374,629,795.30/121,771.44
  6. Step 6: Final answer
    x = 68,773.35

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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.