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Finding the Fourth Proportional to 271,623.60, 407,143.80 and 103,078.80

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Solution

The fourth proportional to 271,623.60, 407,143.80 and 103,078.80 is: 154,507.54

Step by Step Solution

  1. Step 1: Write the proportion equation
    271,623.60 : 407,143.80 = 103,078.80 : x
  2. Step 2: Convert to fraction form
    271,623.60/407,143.80 = 103,078.80/x
  3. Step 3: Cross multiply
    271,623.60x = 407,143.80 × 103,078.80
  4. Step 4: Simplify right side
    271,623.60x = 41,967,894,331.44
  5. Step 5: Solve for x
    x = 41,967,894,331.44/271,623.60
  6. Step 6: Final answer
    x = 154,507.54

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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.