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Finding the Fourth Proportional to 271,820.44, 407,699 and 72,156.32

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Solution

The fourth proportional to 271,820.44, 407,699 and 72,156.32 is: 108,226.08

Step by Step Solution

  1. Step 1: Write the proportion equation
    271,820.44 : 407,699 = 72,156.32 : x
  2. Step 2: Convert to fraction form
    271,820.44/407,699 = 72,156.32/x
  3. Step 3: Cross multiply
    271,820.44x = 407,699 × 72,156.32
  4. Step 4: Simplify right side
    271,820.44x = 29,418,059,507.68
  5. Step 5: Solve for x
    x = 29,418,059,507.68/271,820.44
  6. Step 6: Final answer
    x = 108,226.08

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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.