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Finding the Fourth Proportional to 149,398.32, 206,169.72 and 82,330.32

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Solution

The fourth proportional to 149,398.32, 206,169.72 and 82,330.32 is: 113,615.86

Step by Step Solution

  1. Step 1: Write the proportion equation
    149,398.32 : 206,169.72 = 82,330.32 : x
  2. Step 2: Convert to fraction form
    149,398.32/206,169.72 = 82,330.32/x
  3. Step 3: Cross multiply
    149,398.32x = 206,169.72 × 82,330.32
  4. Step 4: Simplify right side
    149,398.32x = 16,974,019,021.91
  5. Step 5: Solve for x
    x = 16,974,019,021.91/149,398.32
  6. Step 6: Final answer
    x = 113,615.86

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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.