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Finding the Fourth Proportional to 121,680, 167,922 and 67,967.28

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Solution

The fourth proportional to 121,680, 167,922 and 67,967.28 is: 93,796.86

Step by Step Solution

  1. Step 1: Write the proportion equation
    121,680 : 167,922 = 67,967.28 : x
  2. Step 2: Convert to fraction form
    121,680/167,922 = 67,967.28/x
  3. Step 3: Cross multiply
    121,680x = 167,922 × 67,967.28
  4. Step 4: Simplify right side
    121,680x = 11,413,201,592.16
  5. Step 5: Solve for x
    x = 11,413,201,592.16/121,680
  6. Step 6: Final answer
    x = 93,796.86

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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.