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Finding the Fourth Proportional to 67,165.80, 100,754.34 and 20,419.08

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Solution

The fourth proportional to 67,165.80, 100,754.34 and 20,419.08 is: 30,630.33

Step by Step Solution

  1. Step 1: Write the proportion equation
    67,165.80 : 100,754.34 = 20,419.08 : x
  2. Step 2: Convert to fraction form
    67,165.80/100,754.34 = 20,419.08/x
  3. Step 3: Cross multiply
    67,165.80x = 100,754.34 × 20,419.08
  4. Step 4: Simplify right side
    67,165.80x = 2,057,310,928.81
  5. Step 5: Solve for x
    x = 2,057,310,928.81/67,165.80
  6. Step 6: Final answer
    x = 30,630.33

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1.5x scale

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.