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Finding the Fourth Proportional to 149,404.32, 206,178 and 82,336.32

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Solution

The fourth proportional to 149,404.32, 206,178 and 82,336.32 is: 113,624.14

Step by Step Solution

  1. Step 1: Write the proportion equation
    149,404.32 : 206,178 = 82,336.32 : x
  2. Step 2: Convert to fraction form
    149,404.32/206,178 = 82,336.32/x
  3. Step 3: Cross multiply
    149,404.32x = 206,178 × 82,336.32
  4. Step 4: Simplify right side
    149,404.32x = 16,975,937,784.96
  5. Step 5: Solve for x
    x = 16,975,937,784.96/149,404.32
  6. Step 6: Final answer
    x = 113,624.14

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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.