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Finding the Fourth Proportional to 189,051.71, 283,660.97 and 100,283.46

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Solution

The fourth proportional to 189,051.71, 283,660.97 and 100,283.46 is: 150,469.43

Step by Step Solution

  1. Step 1: Write the proportion equation
    189,051.71 : 283,660.97 = 100,283.46 : x
  2. Step 2: Convert to fraction form
    189,051.71/283,660.97 = 100,283.46/x
  3. Step 3: Cross multiply
    189,051.71x = 283,660.97 × 100,283.46
  4. Step 4: Simplify right side
    189,051.71x = 28,446,503,538.56
  5. Step 5: Solve for x
    x = 28,446,503,538.56/189,051.71
  6. Step 6: Final answer
    x = 150,469.43

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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.