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Finding the Fourth Proportional to 149,382, 206,151.48 and 82,318.32

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Solution

The fourth proportional to 149,382, 206,151.48 and 82,318.32 is: 113,601.66

Step by Step Solution

  1. Step 1: Write the proportion equation
    149,382 : 206,151.48 = 82,318.32 : x
  2. Step 2: Convert to fraction form
    149,382/206,151.48 = 82,318.32/x
  3. Step 3: Cross multiply
    149,382x = 206,151.48 × 82,318.32
  4. Step 4: Simplify right side
    149,382x = 16,970,043,499.11
  5. Step 5: Solve for x
    x = 16,970,043,499.11/149,382
  6. Step 6: Final answer
    x = 113,601.66

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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.