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Finding the Fourth Proportional to 378,086, 567,127.04 and 111,847.92

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Solution

The fourth proportional to 378,086, 567,127.04 and 111,847.92 is: 167,771.30

Step by Step Solution

  1. Step 1: Write the proportion equation
    378,086 : 567,127.04 = 111,847.92 : x
  2. Step 2: Convert to fraction form
    378,086/567,127.04 = 111,847.92/x
  3. Step 3: Cross multiply
    378,086x = 567,127.04 × 111,847.92
  4. Step 4: Simplify right side
    378,086x = 63,431,979,799.76
  5. Step 5: Solve for x
    x = 63,431,979,799.76/378,086
  6. Step 6: Final answer
    x = 167,771.30

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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.