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Finding the Fourth Proportional to 146,578.31, 202,310.56 and 89,205.60

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Solution

The fourth proportional to 146,578.31, 202,310.56 and 89,205.60 is: 123,123.51

Step by Step Solution

  1. Step 1: Write the proportion equation
    146,578.31 : 202,310.56 = 89,205.60 : x
  2. Step 2: Convert to fraction form
    146,578.31/202,310.56 = 89,205.60/x
  3. Step 3: Cross multiply
    146,578.31x = 202,310.56 × 89,205.60
  4. Step 4: Simplify right side
    146,578.31x = 18,047,235,761.31
  5. Step 5: Solve for x
    x = 18,047,235,761.31/146,578.31
  6. Step 6: Final answer
    x = 123,123.51

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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.