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Finding the Fourth Proportional to 159,546.72, 220,198.79 and 121,243.84

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Solution

The fourth proportional to 159,546.72, 220,198.79 and 121,243.84 is: 167,334.98

Step by Step Solution

  1. Step 1: Write the proportion equation
    159,546.72 : 220,198.79 = 121,243.84 : x
  2. Step 2: Convert to fraction form
    159,546.72/220,198.79 = 121,243.84/x
  3. Step 3: Cross multiply
    159,546.72x = 220,198.79 × 121,243.84
  4. Step 4: Simplify right side
    159,546.72x = 26,697,746,862.95
  5. Step 5: Solve for x
    x = 26,697,746,862.95/159,546.72
  6. Step 6: Final answer
    x = 167,334.98

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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.