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Finding the Fourth Proportional to 271,784.31, 407,696.37 and 72,100.26

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Solution

The fourth proportional to 271,784.31, 407,696.37 and 72,100.26 is: 108,155.67

Step by Step Solution

  1. Step 1: Write the proportion equation
    271,784.31 : 407,696.37 = 72,100.26 : x
  2. Step 2: Convert to fraction form
    271,784.31/407,696.37 = 72,100.26/x
  3. Step 3: Cross multiply
    271,784.31x = 407,696.37 × 72,100.26
  4. Step 4: Simplify right side
    271,784.31x = 29,395,014,278.06
  5. Step 5: Solve for x
    x = 29,395,014,278.06/271,784.31
  6. Step 6: Final answer
    x = 108,155.67

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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.