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Finding the Fourth Proportional to 71,631.60, 107,447.40 and 21,709.20

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Solution

The fourth proportional to 71,631.60, 107,447.40 and 21,709.20 is: 32,563.80

Step by Step Solution

  1. Step 1: Write the proportion equation
    71,631.60 : 107,447.40 = 21,709.20 : x
  2. Step 2: Convert to fraction form
    71,631.60/107,447.40 = 21,709.20/x
  3. Step 3: Cross multiply
    71,631.60x = 107,447.40 × 21,709.20
  4. Step 4: Simplify right side
    71,631.60x = 2,332,597,096.08
  5. Step 5: Solve for x
    x = 2,332,597,096.08/71,631.60
  6. Step 6: Final answer
    x = 32,563.80

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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.