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Finding the Fourth Proportional to 203,975.92, 281,408.16 and 150,388.12

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Solution

The fourth proportional to 203,975.92, 281,408.16 and 150,388.12 is: 207,477.65

Step by Step Solution

  1. Step 1: Write the proportion equation
    203,975.92 : 281,408.16 = 150,388.12 : x
  2. Step 2: Convert to fraction form
    203,975.92/281,408.16 = 150,388.12/x
  3. Step 3: Cross multiply
    203,975.92x = 281,408.16 × 150,388.12
  4. Step 4: Simplify right side
    203,975.92x = 42,320,444,135.06
  5. Step 5: Solve for x
    x = 42,320,444,135.06/203,975.92
  6. Step 6: Final answer
    x = 207,477.65

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1.5x scale

Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.