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Finding the Fourth Proportional to 202,728.96, 279,757.80 and 117,839.34

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Solution

The fourth proportional to 202,728.96, 279,757.80 and 117,839.34 is: 162,613.54

Step by Step Solution

  1. Step 1: Write the proportion equation
    202,728.96 : 279,757.80 = 117,839.34 : x
  2. Step 2: Convert to fraction form
    202,728.96/279,757.80 = 117,839.34/x
  3. Step 3: Cross multiply
    202,728.96x = 279,757.80 × 117,839.34
  4. Step 4: Simplify right side
    202,728.96x = 32,966,474,511.85
  5. Step 5: Solve for x
    x = 32,966,474,511.85/202,728.96
  6. Step 6: Final answer
    x = 162,613.54

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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.