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Finding the Fourth Proportional to 281,225, 421,839 and 115,013

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Solution

The fourth proportional to 281,225, 421,839 and 115,013 is: 172,520.11

Step by Step Solution

  1. Step 1: Write the proportion equation
    281,225 : 421,839 = 115,013 : x
  2. Step 2: Convert to fraction form
    281,225/421,839 = 115,013/x
  3. Step 3: Cross multiply
    281,225x = 421,839 × 115,013
  4. Step 4: Simplify right side
    281,225x = 48,516,968,907
  5. Step 5: Solve for x
    x = 48,516,968,907/281,225
  6. Step 6: Final answer
    x = 172,520.11

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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.