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Finding the Fourth Proportional to 74,097.96, 111,127.12 and 20,786.76

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Solution

The fourth proportional to 74,097.96, 111,127.12 and 20,786.76 is: 31,174.58

Step by Step Solution

  1. Step 1: Write the proportion equation
    74,097.96 : 111,127.12 = 20,786.76 : x
  2. Step 2: Convert to fraction form
    74,097.96/111,127.12 = 20,786.76/x
  3. Step 3: Cross multiply
    74,097.96x = 111,127.12 × 20,786.76
  4. Step 4: Simplify right side
    74,097.96x = 2,309,972,720.96
  5. Step 5: Solve for x
    x = 2,309,972,720.96/74,097.96
  6. Step 6: Final answer
    x = 31,174.58

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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.