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Finding the Fourth Proportional to 149,404.08, 206,176.52 and 82,336.08

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Solution

The fourth proportional to 149,404.08, 206,176.52 and 82,336.08 is: 113,623.18

Step by Step Solution

  1. Step 1: Write the proportion equation
    149,404.08 : 206,176.52 = 82,336.08 : x
  2. Step 2: Convert to fraction form
    149,404.08/206,176.52 = 82,336.08/x
  3. Step 3: Cross multiply
    149,404.08x = 206,176.52 × 82,336.08
  4. Step 4: Simplify right side
    149,404.08x = 16,975,766,444.84
  5. Step 5: Solve for x
    x = 16,975,766,444.84/149,404.08
  6. Step 6: Final answer
    x = 113,623.18

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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.