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Finding the Fourth Proportional to 271,499.51, 407,273.19 and 100,723.20

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Solution

The fourth proportional to 271,499.51, 407,273.19 and 100,723.20 is: 151,093.68

Step by Step Solution

  1. Step 1: Write the proportion equation
    271,499.51 : 407,273.19 = 100,723.20 : x
  2. Step 2: Convert to fraction form
    271,499.51/407,273.19 = 100,723.20/x
  3. Step 3: Cross multiply
    271,499.51x = 407,273.19 × 100,723.20
  4. Step 4: Simplify right side
    271,499.51x = 41,021,858,971.01
  5. Step 5: Solve for x
    x = 41,021,858,971.01/271,499.51
  6. Step 6: Final answer
    x = 151,093.68

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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.