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Finding the Fourth Proportional to 188,295.78, 259,853.52 and 103,418.34

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Solution

The fourth proportional to 188,295.78, 259,853.52 and 103,418.34 is: 142,720.24

Step by Step Solution

  1. Step 1: Write the proportion equation
    188,295.78 : 259,853.52 = 103,418.34 : x
  2. Step 2: Convert to fraction form
    188,295.78/259,853.52 = 103,418.34/x
  3. Step 3: Cross multiply
    188,295.78x = 259,853.52 × 103,418.34
  4. Step 4: Simplify right side
    188,295.78x = 26,873,619,681.56
  5. Step 5: Solve for x
    x = 26,873,619,681.56/188,295.78
  6. Step 6: Final answer
    x = 142,720.24

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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.