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Finding the Fourth Proportional to 151,719.82, 209,357.52 and 83,735.56

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Solution

The fourth proportional to 151,719.82, 209,357.52 and 83,735.56 is: 115,546.34

Step by Step Solution

  1. Step 1: Write the proportion equation
    151,719.82 : 209,357.52 = 83,735.56 : x
  2. Step 2: Convert to fraction form
    151,719.82/209,357.52 = 83,735.56/x
  3. Step 3: Cross multiply
    151,719.82x = 209,357.52 × 83,735.56
  4. Step 4: Simplify right side
    151,719.82x = 17,530,669,177.41
  5. Step 5: Solve for x
    x = 17,530,669,177.41/151,719.82
  6. Step 6: Final answer
    x = 115,546.34

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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.