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Finding the Fourth Proportional to 121,105, 167,124.90 and 68,113

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Solution

The fourth proportional to 121,105, 167,124.90 and 68,113 is: 93,995.94

Step by Step Solution

  1. Step 1: Write the proportion equation
    121,105 : 167,124.90 = 68,113 : x
  2. Step 2: Convert to fraction form
    121,105/167,124.90 = 68,113/x
  3. Step 3: Cross multiply
    121,105x = 167,124.90 × 68,113
  4. Step 4: Simplify right side
    121,105x = 11,383,378,313.70
  5. Step 5: Solve for x
    x = 11,383,378,313.70/121,105
  6. Step 6: Final answer
    x = 93,995.94

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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.