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Finding the Fourth Proportional to 192,779.92, 289,123.30 and 74,375.74

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Solution

The fourth proportional to 192,779.92, 289,123.30 and 74,375.74 is: 111,545.64

Step by Step Solution

  1. Step 1: Write the proportion equation
    192,779.92 : 289,123.30 = 74,375.74 : x
  2. Step 2: Convert to fraction form
    192,779.92/289,123.30 = 74,375.74/x
  3. Step 3: Cross multiply
    192,779.92x = 289,123.30 × 74,375.74
  4. Step 4: Simplify right side
    192,779.92x = 21,503,759,388.74
  5. Step 5: Solve for x
    x = 21,503,759,388.74/192,779.92
  6. Step 6: Final answer
    x = 111,545.64

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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.