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Finding the Fourth Proportional to 189,302, 283,869.84 and 70,890.30

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Solution

The fourth proportional to 189,302, 283,869.84 and 70,890.30 is: 106,304.31

Step by Step Solution

  1. Step 1: Write the proportion equation
    189,302 : 283,869.84 = 70,890.30 : x
  2. Step 2: Convert to fraction form
    189,302/283,869.84 = 70,890.30/x
  3. Step 3: Cross multiply
    189,302x = 283,869.84 × 70,890.30
  4. Step 4: Simplify right side
    189,302x = 20,123,618,118.55
  5. Step 5: Solve for x
    x = 20,123,618,118.55/189,302
  6. Step 6: Final answer
    x = 106,304.31

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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.