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Finding the Fourth Proportional to 54,490.40, 81,719.40 and 21,191.30

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Solution

The fourth proportional to 54,490.40, 81,719.40 and 21,191.30 is: 31,780.65

Step by Step Solution

  1. Step 1: Write the proportion equation
    54,490.40 : 81,719.40 = 21,191.30 : x
  2. Step 2: Convert to fraction form
    54,490.40/81,719.40 = 21,191.30/x
  3. Step 3: Cross multiply
    54,490.40x = 81,719.40 × 21,191.30
  4. Step 4: Simplify right side
    54,490.40x = 1,731,740,321.22
  5. Step 5: Solve for x
    x = 1,731,740,321.22/54,490.40
  6. Step 6: Final answer
    x = 31,780.65

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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.