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Finding the Fourth Proportional to 149,419, 206,201.19 and 81,435.70

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Solution

The fourth proportional to 149,419, 206,201.19 and 81,435.70 is: 112,382.88

Step by Step Solution

  1. Step 1: Write the proportion equation
    149,419 : 206,201.19 = 81,435.70 : x
  2. Step 2: Convert to fraction form
    149,419/206,201.19 = 81,435.70/x
  3. Step 3: Cross multiply
    149,419x = 206,201.19 × 81,435.70
  4. Step 4: Simplify right side
    149,419x = 16,792,138,248.48
  5. Step 5: Solve for x
    x = 16,792,138,248.48/149,419
  6. Step 6: Final answer
    x = 112,382.88

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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.