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Finding the Fourth Proportional to 192,859.38, 289,308.09 and 66,483

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Solution

The fourth proportional to 192,859.38, 289,308.09 and 66,483 is: 99,731.06

Step by Step Solution

  1. Step 1: Write the proportion equation
    192,859.38 : 289,308.09 = 66,483 : x
  2. Step 2: Convert to fraction form
    192,859.38/289,308.09 = 66,483/x
  3. Step 3: Cross multiply
    192,859.38x = 289,308.09 × 66,483
  4. Step 4: Simplify right side
    192,859.38x = 19,234,069,747.47
  5. Step 5: Solve for x
    x = 19,234,069,747.47/192,859.38
  6. Step 6: Final answer
    x = 99,731.06

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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.