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Finding the Fourth Proportional to 271,401.60, 406,810.80 and 102,856.80

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Solution

The fourth proportional to 271,401.60, 406,810.80 and 102,856.80 is: 154,174.69

Step by Step Solution

  1. Step 1: Write the proportion equation
    271,401.60 : 406,810.80 = 102,856.80 : x
  2. Step 2: Convert to fraction form
    271,401.60/406,810.80 = 102,856.80/x
  3. Step 3: Cross multiply
    271,401.60x = 406,810.80 × 102,856.80
  4. Step 4: Simplify right side
    271,401.60x = 41,843,257,093.44
  5. Step 5: Solve for x
    x = 41,843,257,093.44/271,401.60
  6. Step 6: Final answer
    x = 154,174.69

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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.