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Finding the Fourth Proportional to 68,336.10, 102,516.24 and 20,950.10

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Solution

The fourth proportional to 68,336.10, 102,516.24 and 20,950.10 is: 31,428.86

Step by Step Solution

  1. Step 1: Write the proportion equation
    68,336.10 : 102,516.24 = 20,950.10 : x
  2. Step 2: Convert to fraction form
    68,336.10/102,516.24 = 20,950.10/x
  3. Step 3: Cross multiply
    68,336.10x = 102,516.24 × 20,950.10
  4. Step 4: Simplify right side
    68,336.10x = 2,147,725,479.62
  5. Step 5: Solve for x
    x = 2,147,725,479.62/68,336.10
  6. Step 6: Final answer
    x = 31,428.86

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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.