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Finding the Fourth Proportional to 126,198, 189,241.56 and 47,256.86

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Solution

The fourth proportional to 126,198, 189,241.56 and 47,256.86 is: 70,864.53

Step by Step Solution

  1. Step 1: Write the proportion equation
    126,198 : 189,241.56 = 47,256.86 : x
  2. Step 2: Convert to fraction form
    126,198/189,241.56 = 47,256.86/x
  3. Step 3: Cross multiply
    126,198x = 189,241.56 × 47,256.86
  4. Step 4: Simplify right side
    126,198x = 8,942,961,907.10
  5. Step 5: Solve for x
    x = 8,942,961,907.10/126,198
  6. Step 6: Final answer
    x = 70,864.53

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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.