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Finding the Fourth Proportional to 271,474.21, 406,969.34 and 103,112.77

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Solution

The fourth proportional to 271,474.21, 406,969.34 and 103,112.77 is: 154,577.25

Step by Step Solution

  1. Step 1: Write the proportion equation
    271,474.21 : 406,969.34 = 103,112.77 : x
  2. Step 2: Convert to fraction form
    271,474.21/406,969.34 = 103,112.77/x
  3. Step 3: Cross multiply
    271,474.21x = 406,969.34 × 103,112.77
  4. Step 4: Simplify right side
    271,474.21x = 41,963,735,762.56
  5. Step 5: Solve for x
    x = 41,963,735,762.56/271,474.21
  6. Step 6: Final answer
    x = 154,577.25

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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.