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Finding the Fourth Proportional to 54,685.98, 82,035.81 and 21,401.75

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Solution

The fourth proportional to 54,685.98, 82,035.81 and 21,401.75 is: 32,105.29

Step by Step Solution

  1. Step 1: Write the proportion equation
    54,685.98 : 82,035.81 = 21,401.75 : x
  2. Step 2: Convert to fraction form
    54,685.98/82,035.81 = 21,401.75/x
  3. Step 3: Cross multiply
    54,685.98x = 82,035.81 × 21,401.75
  4. Step 4: Simplify right side
    54,685.98x = 1,755,709,486.49
  5. Step 5: Solve for x
    x = 1,755,709,486.49/54,685.98
  6. Step 6: Final answer
    x = 32,105.29

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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.