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Finding the Fourth Proportional to 192,853.40, 289,323.72 and 104,105

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Solution

The fourth proportional to 192,853.40, 289,323.72 and 104,105 is: 156,181.05

Step by Step Solution

  1. Step 1: Write the proportion equation
    192,853.40 : 289,323.72 = 104,105 : x
  2. Step 2: Convert to fraction form
    192,853.40/289,323.72 = 104,105/x
  3. Step 3: Cross multiply
    192,853.40x = 289,323.72 × 104,105
  4. Step 4: Simplify right side
    192,853.40x = 30,120,045,870.60
  5. Step 5: Solve for x
    x = 30,120,045,870.60/192,853.40
  6. Step 6: Final answer
    x = 156,181.05

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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.