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Finding the Fourth Proportional to 71,324.60, 106,986.67 and 21,404.50

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Solution

The fourth proportional to 71,324.60, 106,986.67 and 21,404.50 is: 32,106.69

Step by Step Solution

  1. Step 1: Write the proportion equation
    71,324.60 : 106,986.67 = 21,404.50 : x
  2. Step 2: Convert to fraction form
    71,324.60/106,986.67 = 21,404.50/x
  3. Step 3: Cross multiply
    71,324.60x = 106,986.67 × 21,404.50
  4. Step 4: Simplify right side
    71,324.60x = 2,289,996,579.24
  5. Step 5: Solve for x
    x = 2,289,996,579.24/71,324.60
  6. Step 6: Final answer
    x = 32,106.69

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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.