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Finding the Fourth Proportional to 149,820.80, 206,752.72 and 82,752.80

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Solution

The fourth proportional to 149,820.80, 206,752.72 and 82,752.80 is: 114,198.87

Step by Step Solution

  1. Step 1: Write the proportion equation
    149,820.80 : 206,752.72 = 82,752.80 : x
  2. Step 2: Convert to fraction form
    149,820.80/206,752.72 = 82,752.80/x
  3. Step 3: Cross multiply
    149,820.80x = 206,752.72 × 82,752.80
  4. Step 4: Simplify right side
    149,820.80x = 17,109,366,487.62
  5. Step 5: Solve for x
    x = 17,109,366,487.62/149,820.80
  6. Step 6: Final answer
    x = 114,198.87

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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.