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Finding the Fourth Proportional to 54,296.80, 81,445.20 and 19,231.90

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Solution

The fourth proportional to 54,296.80, 81,445.20 and 19,231.90 is: 28,847.85

Step by Step Solution

  1. Step 1: Write the proportion equation
    54,296.80 : 81,445.20 = 19,231.90 : x
  2. Step 2: Convert to fraction form
    54,296.80/81,445.20 = 19,231.90/x
  3. Step 3: Cross multiply
    54,296.80x = 81,445.20 × 19,231.90
  4. Step 4: Simplify right side
    54,296.80x = 1,566,345,941.88
  5. Step 5: Solve for x
    x = 1,566,345,941.88/54,296.80
  6. Step 6: Final answer
    x = 28,847.85

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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.