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Finding the Fourth Proportional to 71,982.30, 100,644 and 71,982.30

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Solution

The fourth proportional to 71,982.30, 100,644 and 71,982.30 is: 100,644

Step by Step Solution

  1. Step 1: Write the proportion equation
    71,982.30 : 100,644 = 71,982.30 : x
  2. Step 2: Convert to fraction form
    71,982.30/100,644 = 71,982.30/x
  3. Step 3: Cross multiply
    71,982.30x = 100,644 × 71,982.30
  4. Step 4: Simplify right side
    71,982.30x = 7,244,586,601.20
  5. Step 5: Solve for x
    x = 7,244,586,601.20/71,982.30
  6. Step 6: Final answer
    x = 100,644

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Why These Related Problems?

These problems maintain the same ratio (1.40) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.