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Finding the Fourth Proportional to 149,281.48, 206,007.54 and 82,213

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Solution

The fourth proportional to 149,281.48, 206,007.54 and 82,213 is: 113,453.44

Step by Step Solution

  1. Step 1: Write the proportion equation
    149,281.48 : 206,007.54 = 82,213 : x
  2. Step 2: Convert to fraction form
    149,281.48/206,007.54 = 82,213/x
  3. Step 3: Cross multiply
    149,281.48x = 206,007.54 × 82,213
  4. Step 4: Simplify right side
    149,281.48x = 16,936,497,886.02
  5. Step 5: Solve for x
    x = 16,936,497,886.02/149,281.48
  6. Step 6: Final answer
    x = 113,453.44

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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.