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Finding the Fourth Proportional to 149,885.68, 206,839.74 and 81,901.16

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Solution

The fourth proportional to 149,885.68, 206,839.74 and 81,901.16 is: 113,022.24

Step by Step Solution

  1. Step 1: Write the proportion equation
    149,885.68 : 206,839.74 = 81,901.16 : x
  2. Step 2: Convert to fraction form
    149,885.68/206,839.74 = 81,901.16/x
  3. Step 3: Cross multiply
    149,885.68x = 206,839.74 × 81,901.16
  4. Step 4: Simplify right side
    149,885.68x = 16,940,414,640.10
  5. Step 5: Solve for x
    x = 16,940,414,640.10/149,885.68
  6. Step 6: Final answer
    x = 113,022.24

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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.