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Finding the Fourth Proportional to 80,906, 111,654.11 and 45,096.26

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Solution

The fourth proportional to 80,906, 111,654.11 and 45,096.26 is: 62,234.97

Step by Step Solution

  1. Step 1: Write the proportion equation
    80,906 : 111,654.11 = 45,096.26 : x
  2. Step 2: Convert to fraction form
    80,906/111,654.11 = 45,096.26/x
  3. Step 3: Cross multiply
    80,906x = 111,654.11 × 45,096.26
  4. Step 4: Simplify right side
    80,906x = 5,035,182,774.63
  5. Step 5: Solve for x
    x = 5,035,182,774.63/80,906
  6. Step 6: Final answer
    x = 62,234.97

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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.