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Finding the Fourth Proportional to 121,596.32, 167,805.76 and 76,276.22

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Solution

The fourth proportional to 121,596.32, 167,805.76 and 76,276.22 is: 105,262.96

Step by Step Solution

  1. Step 1: Write the proportion equation
    121,596.32 : 167,805.76 = 76,276.22 : x
  2. Step 2: Convert to fraction form
    121,596.32/167,805.76 = 76,276.22/x
  3. Step 3: Cross multiply
    121,596.32x = 167,805.76 × 76,276.22
  4. Step 4: Simplify right side
    121,596.32x = 12,799,589,067.03
  5. Step 5: Solve for x
    x = 12,799,589,067.03/121,596.32
  6. Step 6: Final answer
    x = 105,262.96

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These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.