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Finding the Fourth Proportional to 138,272.96, 190,759.92 and 102,550.88

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Solution

The fourth proportional to 138,272.96, 190,759.92 and 102,550.88 is: 141,478.11

Step by Step Solution

  1. Step 1: Write the proportion equation
    138,272.96 : 190,759.92 = 102,550.88 : x
  2. Step 2: Convert to fraction form
    138,272.96/190,759.92 = 102,550.88/x
  3. Step 3: Cross multiply
    138,272.96x = 190,759.92 × 102,550.88
  4. Step 4: Simplify right side
    138,272.96x = 19,562,597,664.73
  5. Step 5: Solve for x
    x = 19,562,597,664.73/138,272.96
  6. Step 6: Final answer
    x = 141,478.11

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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.