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Finding the Fourth Proportional to 254,105.78, 381,019.43 and 117,180.24

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Solution

The fourth proportional to 254,105.78, 381,019.43 and 117,180.24 is: 175,706.15

Step by Step Solution

  1. Step 1: Write the proportion equation
    254,105.78 : 381,019.43 = 117,180.24 : x
  2. Step 2: Convert to fraction form
    254,105.78/381,019.43 = 117,180.24/x
  3. Step 3: Cross multiply
    254,105.78x = 381,019.43 × 117,180.24
  4. Step 4: Simplify right side
    254,105.78x = 44,647,946,457.05
  5. Step 5: Solve for x
    x = 44,647,946,457.05/254,105.78
  6. Step 6: Final answer
    x = 175,706.15

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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.