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Finding the Fourth Proportional to 126,333, 189,548.78 and 47,453.45

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Solution

The fourth proportional to 126,333, 189,548.78 and 47,453.45 is: 71,198.68

Step by Step Solution

  1. Step 1: Write the proportion equation
    126,333 : 189,548.78 = 47,453.45 : x
  2. Step 2: Convert to fraction form
    126,333/189,548.78 = 47,453.45/x
  3. Step 3: Cross multiply
    126,333x = 189,548.78 × 47,453.45
  4. Step 4: Simplify right side
    126,333x = 8,994,742,369.28
  5. Step 5: Solve for x
    x = 8,994,742,369.28/126,333
  6. Step 6: Final answer
    x = 71,198.68

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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.