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Finding the Fourth Proportional to 121,698, 167,943.24 and 68,706

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Solution

The fourth proportional to 121,698, 167,943.24 and 68,706 is: 94,814.28

Step by Step Solution

  1. Step 1: Write the proportion equation
    121,698 : 167,943.24 = 68,706 : x
  2. Step 2: Convert to fraction form
    121,698/167,943.24 = 68,706/x
  3. Step 3: Cross multiply
    121,698x = 167,943.24 × 68,706
  4. Step 4: Simplify right side
    121,698x = 11,538,708,247.44
  5. Step 5: Solve for x
    x = 11,538,708,247.44/121,698
  6. Step 6: Final answer
    x = 94,814.28

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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.