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Finding the Fourth Proportional to 192,649.74, 289,057.30 and 74,404.12

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Solution

The fourth proportional to 192,649.74, 289,057.30 and 74,404.12 is: 111,638.11

Step by Step Solution

  1. Step 1: Write the proportion equation
    192,649.74 : 289,057.30 = 74,404.12 : x
  2. Step 2: Convert to fraction form
    192,649.74/289,057.30 = 74,404.12/x
  3. Step 3: Cross multiply
    192,649.74x = 289,057.30 × 74,404.12
  4. Step 4: Simplify right side
    192,649.74x = 21,507,052,590.79
  5. Step 5: Solve for x
    x = 21,507,052,590.79/192,649.74
  6. Step 6: Final answer
    x = 111,638.11

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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.