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Finding the Fourth Proportional to 120,851.89, 181,277.90 and 45,954.75

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Solution

The fourth proportional to 120,851.89, 181,277.90 and 45,954.75 is: 68,932.15

Step by Step Solution

  1. Step 1: Write the proportion equation
    120,851.89 : 181,277.90 = 45,954.75 : x
  2. Step 2: Convert to fraction form
    120,851.89/181,277.90 = 45,954.75/x
  3. Step 3: Cross multiply
    120,851.89x = 181,277.90 × 45,954.75
  4. Step 4: Simplify right side
    120,851.89x = 8,330,580,575.03
  5. Step 5: Solve for x
    x = 8,330,580,575.03/120,851.89
  6. Step 6: Final answer
    x = 68,932.15

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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.