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Finding the Fourth Proportional to 137,054.36, 189,193.32 and 83,356.63

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Solution

The fourth proportional to 137,054.36, 189,193.32 and 83,356.63 is: 115,067.60

Step by Step Solution

  1. Step 1: Write the proportion equation
    137,054.36 : 189,193.32 = 83,356.63 : x
  2. Step 2: Convert to fraction form
    137,054.36/189,193.32 = 83,356.63/x
  3. Step 3: Cross multiply
    137,054.36x = 189,193.32 × 83,356.63
  4. Step 4: Simplify right side
    137,054.36x = 15,770,517,100.73
  5. Step 5: Solve for x
    x = 15,770,517,100.73/137,054.36
  6. Step 6: Final answer
    x = 115,067.60

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These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.