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Finding the Fourth Proportional to 68,033.81, 102,103.83 and 47,120.42

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Solution

The fourth proportional to 68,033.81, 102,103.83 and 47,120.42 is: 70,717.42

Step by Step Solution

  1. Step 1: Write the proportion equation
    68,033.81 : 102,103.83 = 47,120.42 : x
  2. Step 2: Convert to fraction form
    68,033.81/102,103.83 = 47,120.42/x
  3. Step 3: Cross multiply
    68,033.81x = 102,103.83 × 47,120.42
  4. Step 4: Simplify right side
    68,033.81x = 4,811,174,842.69
  5. Step 5: Solve for x
    x = 4,811,174,842.69/68,033.81
  6. Step 6: Final answer
    x = 70,717.42

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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.