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Finding the Fourth Proportional to 254,124.89, 380,939.47 and 120,969.39

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Solution

The fourth proportional to 254,124.89, 380,939.47 and 120,969.39 is: 181,336.10

Step by Step Solution

  1. Step 1: Write the proportion equation
    254,124.89 : 380,939.47 = 120,969.39 : x
  2. Step 2: Convert to fraction form
    254,124.89/380,939.47 = 120,969.39/x
  3. Step 3: Cross multiply
    254,124.89x = 380,939.47 × 120,969.39
  4. Step 4: Simplify right side
    254,124.89x = 46,082,015,010.40
  5. Step 5: Solve for x
    x = 46,082,015,010.40/254,124.89
  6. Step 6: Final answer
    x = 181,336.10

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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.