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Finding the Fourth Proportional to 188,309.52, 259,879.86 and 103,427.46

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Solution

The fourth proportional to 188,309.52, 259,879.86 and 103,427.46 is: 142,736.88

Step by Step Solution

  1. Step 1: Write the proportion equation
    188,309.52 : 259,879.86 = 103,427.46 : x
  2. Step 2: Convert to fraction form
    188,309.52/259,879.86 = 103,427.46/x
  3. Step 3: Cross multiply
    188,309.52x = 259,879.86 × 103,427.46
  4. Step 4: Simplify right side
    188,309.52x = 26,878,713,824.96
  5. Step 5: Solve for x
    x = 26,878,713,824.96/188,309.52
  6. Step 6: Final answer
    x = 142,736.88

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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.