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Finding the Fourth Proportional to 254,125.39, 380,940.22 and 120,969.89

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Solution

The fourth proportional to 254,125.39, 380,940.22 and 120,969.89 is: 181,336.85

Step by Step Solution

  1. Step 1: Write the proportion equation
    254,125.39 : 380,940.22 = 120,969.89 : x
  2. Step 2: Convert to fraction form
    254,125.39/380,940.22 = 120,969.89/x
  3. Step 3: Cross multiply
    254,125.39x = 380,940.22 × 120,969.89
  4. Step 4: Simplify right side
    254,125.39x = 46,082,295,905.13
  5. Step 5: Solve for x
    x = 46,082,295,905.13/254,125.39
  6. Step 6: Final answer
    x = 181,336.85

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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.