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Finding the Fourth Proportional to 202,498.98, 279,447.48 and 111,861.18

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Solution

The fourth proportional to 202,498.98, 279,447.48 and 111,861.18 is: 154,367.81

Step by Step Solution

  1. Step 1: Write the proportion equation
    202,498.98 : 279,447.48 = 111,861.18 : x
  2. Step 2: Convert to fraction form
    202,498.98/279,447.48 = 111,861.18/x
  3. Step 3: Cross multiply
    202,498.98x = 279,447.48 × 111,861.18
  4. Step 4: Simplify right side
    202,498.98x = 31,259,324,860.83
  5. Step 5: Solve for x
    x = 31,259,324,860.83/202,498.98
  6. Step 6: Final answer
    x = 154,367.81

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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.