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Finding the Fourth Proportional to 193,379.40, 289,964.61 and 75,018.96

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Solution

The fourth proportional to 193,379.40, 289,964.61 and 75,018.96 is: 112,487.90

Step by Step Solution

  1. Step 1: Write the proportion equation
    193,379.40 : 289,964.61 = 75,018.96 : x
  2. Step 2: Convert to fraction form
    193,379.40/289,964.61 = 75,018.96/x
  3. Step 3: Cross multiply
    193,379.40x = 289,964.61 × 75,018.96
  4. Step 4: Simplify right side
    193,379.40x = 21,752,843,479.01
  5. Step 5: Solve for x
    x = 21,752,843,479.01/193,379.40
  6. Step 6: Final answer
    x = 112,487.90

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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.