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Finding the Fourth Proportional to 120,851.92, 181,250.47 and 45,945.42

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Solution

The fourth proportional to 120,851.92, 181,250.47 and 45,945.42 is: 68,907.71

Step by Step Solution

  1. Step 1: Write the proportion equation
    120,851.92 : 181,250.47 = 45,945.42 : x
  2. Step 2: Convert to fraction form
    120,851.92/181,250.47 = 45,945.42/x
  3. Step 3: Cross multiply
    120,851.92x = 181,250.47 × 45,945.42
  4. Step 4: Simplify right side
    120,851.92x = 8,327,628,969.35
  5. Step 5: Solve for x
    x = 8,327,628,969.35/120,851.92
  6. Step 6: Final answer
    x = 68,907.71

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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.