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Finding the Fourth Proportional to 149,404.16, 206,177.74 and 82,336.16

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Solution

The fourth proportional to 149,404.16, 206,177.74 and 82,336.16 is: 113,623.90

Step by Step Solution

  1. Step 1: Write the proportion equation
    149,404.16 : 206,177.74 = 82,336.16 : x
  2. Step 2: Convert to fraction form
    149,404.16/206,177.74 = 82,336.16/x
  3. Step 3: Cross multiply
    149,404.16x = 206,177.74 × 82,336.16
  4. Step 4: Simplify right side
    149,404.16x = 16,975,883,389.08
  5. Step 5: Solve for x
    x = 16,975,883,389.08/149,404.16
  6. Step 6: Final answer
    x = 113,623.90

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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.