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Finding the Fourth Proportional to 34,106.81, 51,192.21 and 20,984.81

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Solution

The fourth proportional to 34,106.81, 51,192.21 and 20,984.81 is: 31,496.90

Step by Step Solution

  1. Step 1: Write the proportion equation
    34,106.81 : 51,192.21 = 20,984.81 : x
  2. Step 2: Convert to fraction form
    34,106.81/51,192.21 = 20,984.81/x
  3. Step 3: Cross multiply
    34,106.81x = 51,192.21 × 20,984.81
  4. Step 4: Simplify right side
    34,106.81x = 1,074,258,800.33
  5. Step 5: Solve for x
    x = 1,074,258,800.33/34,106.81
  6. Step 6: Final answer
    x = 31,496.90

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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.