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Finding the Fourth Proportional to 67,178.35, 100,738.36 and 20,420.29

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Solution

The fourth proportional to 67,178.35, 100,738.36 and 20,420.29 is: 30,621.57

Step by Step Solution

  1. Step 1: Write the proportion equation
    67,178.35 : 100,738.36 = 20,420.29 : x
  2. Step 2: Convert to fraction form
    67,178.35/100,738.36 = 20,420.29/x
  3. Step 3: Cross multiply
    67,178.35x = 100,738.36 × 20,420.29
  4. Step 4: Simplify right side
    67,178.35x = 2,057,106,525.32
  5. Step 5: Solve for x
    x = 2,057,106,525.32/67,178.35
  6. Step 6: Final answer
    x = 30,621.57

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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.