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Finding the Fourth Proportional to 121,600.50, 167,805.42 and 67,884

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Solution

The fourth proportional to 121,600.50, 167,805.42 and 67,884 is: 93,678.09

Step by Step Solution

  1. Step 1: Write the proportion equation
    121,600.50 : 167,805.42 = 67,884 : x
  2. Step 2: Convert to fraction form
    121,600.50/167,805.42 = 67,884/x
  3. Step 3: Cross multiply
    121,600.50x = 167,805.42 × 67,884
  4. Step 4: Simplify right side
    121,600.50x = 11,391,303,131.28
  5. Step 5: Solve for x
    x = 11,391,303,131.28/121,600.50
  6. Step 6: Final answer
    x = 93,678.09

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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.