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Finding the Fourth Proportional to 20,119, 30,212.58 and 13,111

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Solution

The fourth proportional to 20,119, 30,212.58 and 13,111 is: 19,688.71

Step by Step Solution

  1. Step 1: Write the proportion equation
    20,119 : 30,212.58 = 13,111 : x
  2. Step 2: Convert to fraction form
    20,119/30,212.58 = 13,111/x
  3. Step 3: Cross multiply
    20,119x = 30,212.58 × 13,111
  4. Step 4: Simplify right side
    20,119x = 396,117,136.38
  5. Step 5: Solve for x
    x = 396,117,136.38/20,119
  6. Step 6: Final answer
    x = 19,688.71

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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.