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Finding the Fourth Proportional to 54,757.98, 82,145.85 and 21,459.99

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Solution

The fourth proportional to 54,757.98, 82,145.85 and 21,459.99 is: 32,193.47

Step by Step Solution

  1. Step 1: Write the proportion equation
    54,757.98 : 82,145.85 = 21,459.99 : x
  2. Step 2: Convert to fraction form
    54,757.98/82,145.85 = 21,459.99/x
  3. Step 3: Cross multiply
    54,757.98x = 82,145.85 × 21,459.99
  4. Step 4: Simplify right side
    54,757.98x = 1,762,849,119.54
  5. Step 5: Solve for x
    x = 1,762,849,119.54/54,757.98
  6. Step 6: Final answer
    x = 32,193.47

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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.