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Finding the Fourth Proportional to 261,900, 361,422 and 142,668

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Solution

The fourth proportional to 261,900, 361,422 and 142,668 is: 196,881.84

Step by Step Solution

  1. Step 1: Write the proportion equation
    261,900 : 361,422 = 142,668 : x
  2. Step 2: Convert to fraction form
    261,900/361,422 = 142,668/x
  3. Step 3: Cross multiply
    261,900x = 361,422 × 142,668
  4. Step 4: Simplify right side
    261,900x = 51,563,353,896
  5. Step 5: Solve for x
    x = 51,563,353,896/261,900
  6. Step 6: Final answer
    x = 196,881.84

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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.