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Finding the Fourth Proportional to 54,757.95, 82,145.79 and 21,459.96

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Solution

The fourth proportional to 54,757.95, 82,145.79 and 21,459.96 is: 32,193.41

Step by Step Solution

  1. Step 1: Write the proportion equation
    54,757.95 : 82,145.79 = 21,459.96 : x
  2. Step 2: Convert to fraction form
    54,757.95/82,145.79 = 21,459.96/x
  3. Step 3: Cross multiply
    54,757.95x = 82,145.79 × 21,459.96
  4. Step 4: Simplify right side
    54,757.95x = 1,762,845,367.57
  5. Step 5: Solve for x
    x = 1,762,845,367.57/54,757.95
  6. Step 6: Final answer
    x = 32,193.41

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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.