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Finding the Fourth Proportional to 71,329.40, 106,996.04 and 21,409.49

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Solution

The fourth proportional to 71,329.40, 106,996.04 and 21,409.49 is: 32,114.82

Step by Step Solution

  1. Step 1: Write the proportion equation
    71,329.40 : 106,996.04 = 21,409.49 : x
  2. Step 2: Convert to fraction form
    71,329.40/106,996.04 = 21,409.49/x
  3. Step 3: Cross multiply
    71,329.40x = 106,996.04 × 21,409.49
  4. Step 4: Simplify right side
    71,329.40x = 2,290,730,648.42
  5. Step 5: Solve for x
    x = 2,290,730,648.42/71,329.40
  6. Step 6: Final answer
    x = 32,114.82

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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.