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Finding the Fourth Proportional to 149,405.50, 206,180.40 and 82,337.50

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Solution

The fourth proportional to 149,405.50, 206,180.40 and 82,337.50 is: 113,626.20

Step by Step Solution

  1. Step 1: Write the proportion equation
    149,405.50 : 206,180.40 = 82,337.50 : x
  2. Step 2: Convert to fraction form
    149,405.50/206,180.40 = 82,337.50/x
  3. Step 3: Cross multiply
    149,405.50x = 206,180.40 × 82,337.50
  4. Step 4: Simplify right side
    149,405.50x = 16,976,378,685
  5. Step 5: Solve for x
    x = 16,976,378,685/149,405.50
  6. Step 6: Final answer
    x = 113,626.20

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1.5x scale

Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.