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Finding the Fourth Proportional to 41,148.60, 61,722.90 and 20,412.60

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Solution

The fourth proportional to 41,148.60, 61,722.90 and 20,412.60 is: 30,618.90

Step by Step Solution

  1. Step 1: Write the proportion equation
    41,148.60 : 61,722.90 = 20,412.60 : x
  2. Step 2: Convert to fraction form
    41,148.60/61,722.90 = 20,412.60/x
  3. Step 3: Cross multiply
    41,148.60x = 61,722.90 × 20,412.60
  4. Step 4: Simplify right side
    41,148.60x = 1,259,924,868.54
  5. Step 5: Solve for x
    x = 1,259,924,868.54/41,148.60
  6. Step 6: Final answer
    x = 30,618.90

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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.