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Finding the Fourth Proportional to 149,863.05, 206,808.58 and 81,878.56

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Solution

The fourth proportional to 149,863.05, 206,808.58 and 81,878.56 is: 112,991.08

Step by Step Solution

  1. Step 1: Write the proportion equation
    149,863.05 : 206,808.58 = 81,878.56 : x
  2. Step 2: Convert to fraction form
    149,863.05/206,808.58 = 81,878.56/x
  3. Step 3: Cross multiply
    149,863.05x = 206,808.58 × 81,878.56
  4. Step 4: Simplify right side
    149,863.05x = 16,933,187,692.00
  5. Step 5: Solve for x
    x = 16,933,187,692.00/149,863.05
  6. Step 6: Final answer
    x = 112,991.08

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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.