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Finding the Fourth Proportional to 71,065.18, 106,579.20 and 21,131.84

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Solution

The fourth proportional to 71,065.18, 106,579.20 and 21,131.84 is: 31,692.24

Step by Step Solution

  1. Step 1: Write the proportion equation
    71,065.18 : 106,579.20 = 21,131.84 : x
  2. Step 2: Convert to fraction form
    71,065.18/106,579.20 = 21,131.84/x
  3. Step 3: Cross multiply
    71,065.18x = 106,579.20 × 21,131.84
  4. Step 4: Simplify right side
    71,065.18x = 2,252,214,601.73
  5. Step 5: Solve for x
    x = 2,252,214,601.73/71,065.18
  6. Step 6: Final answer
    x = 31,692.24

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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.