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Finding the Fourth Proportional to 149,276.48, 206,000.64 and 82,208

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Solution

The fourth proportional to 149,276.48, 206,000.64 and 82,208 is: 113,446.54

Step by Step Solution

  1. Step 1: Write the proportion equation
    149,276.48 : 206,000.64 = 82,208 : x
  2. Step 2: Convert to fraction form
    149,276.48/206,000.64 = 82,208/x
  3. Step 3: Cross multiply
    149,276.48x = 206,000.64 × 82,208
  4. Step 4: Simplify right side
    149,276.48x = 16,934,900,613.12
  5. Step 5: Solve for x
    x = 16,934,900,613.12/149,276.48
  6. Step 6: Final answer
    x = 113,446.54

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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.