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Finding the Fourth Proportional to 68,301.46, 102,463.94 and 20,915.38

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Solution

The fourth proportional to 68,301.46, 102,463.94 and 20,915.38 is: 31,376.67

Step by Step Solution

  1. Step 1: Write the proportion equation
    68,301.46 : 102,463.94 = 20,915.38 : x
  2. Step 2: Convert to fraction form
    68,301.46/102,463.94 = 20,915.38/x
  3. Step 3: Cross multiply
    68,301.46x = 102,463.94 × 20,915.38
  4. Step 4: Simplify right side
    68,301.46x = 2,143,072,241.40
  5. Step 5: Solve for x
    x = 2,143,072,241.40/68,301.46
  6. Step 6: Final answer
    x = 31,376.67

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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.