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Finding the Fourth Proportional to 260,223, 359,107.74 and 140,991

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Solution

The fourth proportional to 260,223, 359,107.74 and 140,991 is: 194,567.58

Step by Step Solution

  1. Step 1: Write the proportion equation
    260,223 : 359,107.74 = 140,991 : x
  2. Step 2: Convert to fraction form
    260,223/359,107.74 = 140,991/x
  3. Step 3: Cross multiply
    260,223x = 359,107.74 × 140,991
  4. Step 4: Simplify right side
    260,223x = 50,630,959,370.34
  5. Step 5: Solve for x
    x = 50,630,959,370.34/260,223
  6. Step 6: Final answer
    x = 194,567.58

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.