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Finding the Fourth Proportional to 254,148.89, 380,975.45 and 120,993.39

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Solution

The fourth proportional to 254,148.89, 380,975.45 and 120,993.39 is: 181,372.07

Step by Step Solution

  1. Step 1: Write the proportion equation
    254,148.89 : 380,975.45 = 120,993.39 : x
  2. Step 2: Convert to fraction form
    254,148.89/380,975.45 = 120,993.39/x
  3. Step 3: Cross multiply
    254,148.89x = 380,975.45 × 120,993.39
  4. Step 4: Simplify right side
    254,148.89x = 46,095,510,597.31
  5. Step 5: Solve for x
    x = 46,095,510,597.31/254,148.89
  6. Step 6: Final answer
    x = 181,372.07

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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.