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Finding the Fourth Proportional to 54,431.60, 81,654.84 and 19,362.80

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Solution

The fourth proportional to 54,431.60, 81,654.84 and 19,362.80 is: 29,046.85

Step by Step Solution

  1. Step 1: Write the proportion equation
    54,431.60 : 81,654.84 = 19,362.80 : x
  2. Step 2: Convert to fraction form
    54,431.60/81,654.84 = 19,362.80/x
  3. Step 3: Cross multiply
    54,431.60x = 81,654.84 × 19,362.80
  4. Step 4: Simplify right side
    54,431.60x = 1,581,066,335.95
  5. Step 5: Solve for x
    x = 1,581,066,335.95/54,431.60
  6. Step 6: Final answer
    x = 29,046.85

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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.