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Finding the Fourth Proportional to 20,136, 30,107.88 and 18,371.46

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Solution

The fourth proportional to 20,136, 30,107.88 and 18,371.46 is: 27,469.49

Step by Step Solution

  1. Step 1: Write the proportion equation
    20,136 : 30,107.88 = 18,371.46 : x
  2. Step 2: Convert to fraction form
    20,136/30,107.88 = 18,371.46/x
  3. Step 3: Cross multiply
    20,136x = 30,107.88 × 18,371.46
  4. Step 4: Simplify right side
    20,136x = 553,125,713.10
  5. Step 5: Solve for x
    x = 553,125,713.10/20,136
  6. Step 6: Final answer
    x = 27,469.49

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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.