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Finding the Fourth Proportional to 54,031.46, 81,054.21 and 20,308.46

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Solution

The fourth proportional to 54,031.46, 81,054.21 and 20,308.46 is: 30,465.33

Step by Step Solution

  1. Step 1: Write the proportion equation
    54,031.46 : 81,054.21 = 20,308.46 : x
  2. Step 2: Convert to fraction form
    54,031.46/81,054.21 = 20,308.46/x
  3. Step 3: Cross multiply
    54,031.46x = 81,054.21 × 20,308.46
  4. Step 4: Simplify right side
    54,031.46x = 1,646,086,181.62
  5. Step 5: Solve for x
    x = 1,646,086,181.62/54,031.46
  6. Step 6: Final answer
    x = 30,465.33

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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.