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Finding the Fourth Proportional to 67,164.85, 100,743.63 and 20,414.08

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Solution

The fourth proportional to 67,164.85, 100,743.63 and 20,414.08 is: 30,620.01

Step by Step Solution

  1. Step 1: Write the proportion equation
    67,164.85 : 100,743.63 = 20,414.08 : x
  2. Step 2: Convert to fraction form
    67,164.85/100,743.63 = 20,414.08/x
  3. Step 3: Cross multiply
    67,164.85x = 100,743.63 × 20,414.08
  4. Step 4: Simplify right side
    67,164.85x = 2,056,588,420.24
  5. Step 5: Solve for x
    x = 2,056,588,420.24/67,164.85
  6. Step 6: Final answer
    x = 30,620.01

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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.