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Finding the Fourth Proportional to 121,761.68, 167,922.32 and 76,443.88

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Solution

The fourth proportional to 121,761.68, 167,922.32 and 76,443.88 is: 105,424.25

Step by Step Solution

  1. Step 1: Write the proportion equation
    121,761.68 : 167,922.32 = 76,443.88 : x
  2. Step 2: Convert to fraction form
    121,761.68/167,922.32 = 76,443.88/x
  3. Step 3: Cross multiply
    121,761.68x = 167,922.32 × 76,443.88
  4. Step 4: Simplify right side
    121,761.68x = 12,836,633,507.09
  5. Step 5: Solve for x
    x = 12,836,633,507.09/121,761.68
  6. Step 6: Final answer
    x = 105,424.25

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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.