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Finding the Fourth Proportional to 68,419.70, 102,706.35 and 52,906.10

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Solution

The fourth proportional to 68,419.70, 102,706.35 and 52,906.10 is: 79,418.54

Step by Step Solution

  1. Step 1: Write the proportion equation
    68,419.70 : 102,706.35 = 52,906.10 : x
  2. Step 2: Convert to fraction form
    68,419.70/102,706.35 = 52,906.10/x
  3. Step 3: Cross multiply
    68,419.70x = 102,706.35 × 52,906.10
  4. Step 4: Simplify right side
    68,419.70x = 5,433,792,423.74
  5. Step 5: Solve for x
    x = 5,433,792,423.74/68,419.70
  6. Step 6: Final answer
    x = 79,418.54

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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.