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Finding the Fourth Proportional to 68,057, 102,106.20 and 34,800.42

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Solution

The fourth proportional to 68,057, 102,106.20 and 34,800.42 is: 52,211.21

Step by Step Solution

  1. Step 1: Write the proportion equation
    68,057 : 102,106.20 = 34,800.42 : x
  2. Step 2: Convert to fraction form
    68,057/102,106.20 = 34,800.42/x
  3. Step 3: Cross multiply
    68,057x = 102,106.20 × 34,800.42
  4. Step 4: Simplify right side
    68,057x = 3,553,338,644.60
  5. Step 5: Solve for x
    x = 3,553,338,644.60/68,057
  6. Step 6: Final answer
    x = 52,211.21

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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.