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Finding the Fourth Proportional to 148,998.13, 205,617.41 and 81,930.13

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Solution

The fourth proportional to 148,998.13, 205,617.41 and 81,930.13 is: 113,063.57

Step by Step Solution

  1. Step 1: Write the proportion equation
    148,998.13 : 205,617.41 = 81,930.13 : x
  2. Step 2: Convert to fraction form
    148,998.13/205,617.41 = 81,930.13/x
  3. Step 3: Cross multiply
    148,998.13x = 205,617.41 × 81,930.13
  4. Step 4: Simplify right side
    148,998.13x = 16,846,261,131.56
  5. Step 5: Solve for x
    x = 16,846,261,131.56/148,998.13
  6. Step 6: Final answer
    x = 113,063.57

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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.