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Finding the Fourth Proportional to 150,098.92, 207,136.44 and 86,449

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Solution

The fourth proportional to 150,098.92, 207,136.44 and 86,449 is: 119,299.58

Step by Step Solution

  1. Step 1: Write the proportion equation
    150,098.92 : 207,136.44 = 86,449 : x
  2. Step 2: Convert to fraction form
    150,098.92/207,136.44 = 86,449/x
  3. Step 3: Cross multiply
    150,098.92x = 207,136.44 × 86,449
  4. Step 4: Simplify right side
    150,098.92x = 17,906,738,101.56
  5. Step 5: Solve for x
    x = 17,906,738,101.56/150,098.92
  6. Step 6: Final answer
    x = 119,299.58

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.