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Finding the Fourth Proportional to 271,530.64, 407,162.72 and 111,577.60

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Solution

The fourth proportional to 271,530.64, 407,162.72 and 111,577.60 is: 167,311.65

Step by Step Solution

  1. Step 1: Write the proportion equation
    271,530.64 : 407,162.72 = 111,577.60 : x
  2. Step 2: Convert to fraction form
    271,530.64/407,162.72 = 111,577.60/x
  3. Step 3: Cross multiply
    271,530.64x = 407,162.72 × 111,577.60
  4. Step 4: Simplify right side
    271,530.64x = 45,430,239,107.07
  5. Step 5: Solve for x
    x = 45,430,239,107.07/271,530.64
  6. Step 6: Final answer
    x = 167,311.65

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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.