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Finding the Fourth Proportional to 378,867.82, 567,901.86 and 126,080.32

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Solution

The fourth proportional to 378,867.82, 567,901.86 and 126,080.32 is: 188,987.41

Step by Step Solution

  1. Step 1: Write the proportion equation
    378,867.82 : 567,901.86 = 126,080.32 : x
  2. Step 2: Convert to fraction form
    378,867.82/567,901.86 = 126,080.32/x
  3. Step 3: Cross multiply
    378,867.82x = 567,901.86 × 126,080.32
  4. Step 4: Simplify right side
    378,867.82x = 71,601,248,237.40
  5. Step 5: Solve for x
    x = 71,601,248,237.40/378,867.82
  6. Step 6: Final answer
    x = 188,987.41

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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.