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Finding the Fourth Proportional to 68,325.46, 102,488.14 and 21,578.34

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Solution

The fourth proportional to 68,325.46, 102,488.14 and 21,578.34 is: 32,367.49

Step by Step Solution

  1. Step 1: Write the proportion equation
    68,325.46 : 102,488.14 = 21,578.34 : x
  2. Step 2: Convert to fraction form
    68,325.46/102,488.14 = 21,578.34/x
  3. Step 3: Cross multiply
    68,325.46x = 102,488.14 × 21,578.34
  4. Step 4: Simplify right side
    68,325.46x = 2,211,523,930.89
  5. Step 5: Solve for x
    x = 2,211,523,930.89/68,325.46
  6. Step 6: Final answer
    x = 32,367.49

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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.