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Finding the Fourth Proportional to 54,692.20, 81,989.70 and 21,401.20

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Solution

The fourth proportional to 54,692.20, 81,989.70 and 21,401.20 is: 32,082.78

Step by Step Solution

  1. Step 1: Write the proportion equation
    54,692.20 : 81,989.70 = 21,401.20 : x
  2. Step 2: Convert to fraction form
    54,692.20/81,989.70 = 21,401.20/x
  3. Step 3: Cross multiply
    54,692.20x = 81,989.70 × 21,401.20
  4. Step 4: Simplify right side
    54,692.20x = 1,754,677,967.64
  5. Step 5: Solve for x
    x = 1,754,677,967.64/54,692.20
  6. Step 6: Final answer
    x = 32,082.78

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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.