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Finding the Fourth Proportional to 68,503.20, 102,706.20 and 31,081.20

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Solution

The fourth proportional to 68,503.20, 102,706.20 and 31,081.20 is: 46,599.75

Step by Step Solution

  1. Step 1: Write the proportion equation
    68,503.20 : 102,706.20 = 31,081.20 : x
  2. Step 2: Convert to fraction form
    68,503.20/102,706.20 = 31,081.20/x
  3. Step 3: Cross multiply
    68,503.20x = 102,706.20 × 31,081.20
  4. Step 4: Simplify right side
    68,503.20x = 3,192,231,943.44
  5. Step 5: Solve for x
    x = 3,192,231,943.44/68,503.20
  6. Step 6: Final answer
    x = 46,599.75

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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.