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Finding the Fourth Proportional to 148,998, 205,617.24 and 81,930

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Solution

The fourth proportional to 148,998, 205,617.24 and 81,930 is: 113,063.40

Step by Step Solution

  1. Step 1: Write the proportion equation
    148,998 : 205,617.24 = 81,930 : x
  2. Step 2: Convert to fraction form
    148,998/205,617.24 = 81,930/x
  3. Step 3: Cross multiply
    148,998x = 205,617.24 × 81,930
  4. Step 4: Simplify right side
    148,998x = 16,846,220,473.20
  5. Step 5: Solve for x
    x = 16,846,220,473.20/148,998
  6. Step 6: Final answer
    x = 113,063.40

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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.