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Finding the Fourth Proportional to 71,340.90, 106,986.11 and 20,729.40

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Solution

The fourth proportional to 71,340.90, 106,986.11 and 20,729.40 is: 31,086.77

Step by Step Solution

  1. Step 1: Write the proportion equation
    71,340.90 : 106,986.11 = 20,729.40 : x
  2. Step 2: Convert to fraction form
    71,340.90/106,986.11 = 20,729.40/x
  3. Step 3: Cross multiply
    71,340.90x = 106,986.11 × 20,729.40
  4. Step 4: Simplify right side
    71,340.90x = 2,217,757,868.63
  5. Step 5: Solve for x
    x = 2,217,757,868.63/71,340.90
  6. Step 6: Final answer
    x = 31,086.77

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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.