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Finding the Fourth Proportional to 260,173, 359,040.90 and 140,941

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Solution

The fourth proportional to 260,173, 359,040.90 and 140,941 is: 194,499.75

Step by Step Solution

  1. Step 1: Write the proportion equation
    260,173 : 359,040.90 = 140,941 : x
  2. Step 2: Convert to fraction form
    260,173/359,040.90 = 140,941/x
  3. Step 3: Cross multiply
    260,173x = 359,040.90 × 140,941
  4. Step 4: Simplify right side
    260,173x = 50,603,583,486.90
  5. Step 5: Solve for x
    x = 50,603,583,486.90/260,173
  6. Step 6: Final answer
    x = 194,499.75

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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.