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Finding the Fourth Proportional to 165,676, 248,519.76 and 54,865.12

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Solution

The fourth proportional to 165,676, 248,519.76 and 54,865.12 is: 82,299.59

Step by Step Solution

  1. Step 1: Write the proportion equation
    165,676 : 248,519.76 = 54,865.12 : x
  2. Step 2: Convert to fraction form
    165,676/248,519.76 = 54,865.12/x
  3. Step 3: Cross multiply
    165,676x = 248,519.76 × 54,865.12
  4. Step 4: Simplify right side
    165,676x = 13,635,066,454.77
  5. Step 5: Solve for x
    x = 13,635,066,454.77/165,676
  6. Step 6: Final answer
    x = 82,299.59

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.