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Finding the Fourth Proportional to 68,299.92, 102,438.36 and 21,546

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Solution

The fourth proportional to 68,299.92, 102,438.36 and 21,546 is: 32,315.37

Step by Step Solution

  1. Step 1: Write the proportion equation
    68,299.92 : 102,438.36 = 21,546 : x
  2. Step 2: Convert to fraction form
    68,299.92/102,438.36 = 21,546/x
  3. Step 3: Cross multiply
    68,299.92x = 102,438.36 × 21,546
  4. Step 4: Simplify right side
    68,299.92x = 2,207,136,904.56
  5. Step 5: Solve for x
    x = 2,207,136,904.56/68,299.92
  6. Step 6: Final answer
    x = 32,315.37

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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.