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Finding the Fourth Proportional to 142,054.82, 196,076.63 and 83,965.37

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Solution

The fourth proportional to 142,054.82, 196,076.63 and 83,965.37 is: 115,896.43

Step by Step Solution

  1. Step 1: Write the proportion equation
    142,054.82 : 196,076.63 = 83,965.37 : x
  2. Step 2: Convert to fraction form
    142,054.82/196,076.63 = 83,965.37/x
  3. Step 3: Cross multiply
    142,054.82x = 196,076.63 × 83,965.37
  4. Step 4: Simplify right side
    142,054.82x = 16,463,645,386.09
  5. Step 5: Solve for x
    x = 16,463,645,386.09/142,054.82
  6. Step 6: Final answer
    x = 115,896.43

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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.