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Finding the Fourth Proportional to 260,200, 359,076 and 140,968

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Solution

The fourth proportional to 260,200, 359,076 and 140,968 is: 194,535.84

Step by Step Solution

  1. Step 1: Write the proportion equation
    260,200 : 359,076 = 140,968 : x
  2. Step 2: Convert to fraction form
    260,200/359,076 = 140,968/x
  3. Step 3: Cross multiply
    260,200x = 359,076 × 140,968
  4. Step 4: Simplify right side
    260,200x = 50,618,225,568
  5. Step 5: Solve for x
    x = 50,618,225,568/260,200
  6. Step 6: Final answer
    x = 194,535.84

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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.