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Finding the Fourth Proportional to 54,200.68, 81,254.30 and 20,944.08

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Solution

The fourth proportional to 54,200.68, 81,254.30 and 20,944.08 is: 31,398.07

Step by Step Solution

  1. Step 1: Write the proportion equation
    54,200.68 : 81,254.30 = 20,944.08 : x
  2. Step 2: Convert to fraction form
    54,200.68/81,254.30 = 20,944.08/x
  3. Step 3: Cross multiply
    54,200.68x = 81,254.30 × 20,944.08
  4. Step 4: Simplify right side
    54,200.68x = 1,701,796,716.35
  5. Step 5: Solve for x
    x = 1,701,796,716.35/54,200.68
  6. Step 6: Final answer
    x = 31,398.07

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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.