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Finding the Fourth Proportional to 113,214, 156,195.48 and 67,906.65

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Solution

The fourth proportional to 113,214, 156,195.48 and 67,906.65 is: 93,687.28

Step by Step Solution

  1. Step 1: Write the proportion equation
    113,214 : 156,195.48 = 67,906.65 : x
  2. Step 2: Convert to fraction form
    113,214/156,195.48 = 67,906.65/x
  3. Step 3: Cross multiply
    113,214x = 156,195.48 × 67,906.65
  4. Step 4: Simplify right side
    113,214x = 10,606,711,791.94
  5. Step 5: Solve for x
    x = 10,606,711,791.94/113,214
  6. Step 6: Final answer
    x = 93,687.28

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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.