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Finding the Fourth Proportional to 261,968, 361,515.84 and 142,736

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Solution

The fourth proportional to 261,968, 361,515.84 and 142,736 is: 196,975.68

Step by Step Solution

  1. Step 1: Write the proportion equation
    261,968 : 361,515.84 = 142,736 : x
  2. Step 2: Convert to fraction form
    261,968/361,515.84 = 142,736/x
  3. Step 3: Cross multiply
    261,968x = 361,515.84 × 142,736
  4. Step 4: Simplify right side
    261,968x = 51,601,324,938.24
  5. Step 5: Solve for x
    x = 51,601,324,938.24/261,968
  6. Step 6: Final answer
    x = 196,975.68

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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.