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Finding the Fourth Proportional to 54,705.87, 82,046.34 and 19,645.43

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Solution

The fourth proportional to 54,705.87, 82,046.34 and 19,645.43 is: 29,463.66

Step by Step Solution

  1. Step 1: Write the proportion equation
    54,705.87 : 82,046.34 = 19,645.43 : x
  2. Step 2: Convert to fraction form
    54,705.87/82,046.34 = 19,645.43/x
  3. Step 3: Cross multiply
    54,705.87x = 82,046.34 × 19,645.43
  4. Step 4: Simplify right side
    54,705.87x = 1,611,835,218.99
  5. Step 5: Solve for x
    x = 1,611,835,218.99/54,705.87
  6. Step 6: Final answer
    x = 29,463.66

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.