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Finding the Fourth Proportional to 121,092, 167,107.68 and 68,100

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Solution

The fourth proportional to 121,092, 167,107.68 and 68,100 is: 93,978.40

Step by Step Solution

  1. Step 1: Write the proportion equation
    121,092 : 167,107.68 = 68,100 : x
  2. Step 2: Convert to fraction form
    121,092/167,107.68 = 68,100/x
  3. Step 3: Cross multiply
    121,092x = 167,107.68 × 68,100
  4. Step 4: Simplify right side
    121,092x = 11,380,033,008
  5. Step 5: Solve for x
    x = 11,380,033,008/121,092
  6. Step 6: Final answer
    x = 93,978.40

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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.