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Finding the Fourth Proportional to 71,164.67, 106,765.49 and 21,244.77

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Solution

The fourth proportional to 71,164.67, 106,765.49 and 21,244.77 is: 31,872.67

Step by Step Solution

  1. Step 1: Write the proportion equation
    71,164.67 : 106,765.49 = 21,244.77 : x
  2. Step 2: Convert to fraction form
    71,164.67/106,765.49 = 21,244.77/x
  3. Step 3: Cross multiply
    71,164.67x = 106,765.49 × 21,244.77
  4. Step 4: Simplify right side
    71,164.67x = 2,268,208,172.76
  5. Step 5: Solve for x
    x = 2,268,208,172.76/71,164.67
  6. Step 6: Final answer
    x = 31,872.67

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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.