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Finding the Fourth Proportional to 192,978.90, 289,479.72 and 74,650.86

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Solution

The fourth proportional to 192,978.90, 289,479.72 and 74,650.86 is: 111,980.69

Step by Step Solution

  1. Step 1: Write the proportion equation
    192,978.90 : 289,479.72 = 74,650.86 : x
  2. Step 2: Convert to fraction form
    192,978.90/289,479.72 = 74,650.86/x
  3. Step 3: Cross multiply
    192,978.90x = 289,479.72 × 74,650.86
  4. Step 4: Simplify right side
    192,978.90x = 21,609,910,050.56
  5. Step 5: Solve for x
    x = 21,609,910,050.56/192,978.90
  6. Step 6: Final answer
    x = 111,980.69

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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.