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Finding the Fourth Proportional to 149,863.27, 206,808.90 and 81,878.79

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Solution

The fourth proportional to 149,863.27, 206,808.90 and 81,878.79 is: 112,991.41

Step by Step Solution

  1. Step 1: Write the proportion equation
    149,863.27 : 206,808.90 = 81,878.79 : x
  2. Step 2: Convert to fraction form
    149,863.27/206,808.90 = 81,878.79/x
  3. Step 3: Cross multiply
    149,863.27x = 206,808.90 × 81,878.79
  4. Step 4: Simplify right side
    149,863.27x = 16,933,262,017.22
  5. Step 5: Solve for x
    x = 16,933,262,017.22/149,863.27
  6. Step 6: Final answer
    x = 112,991.41

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1.5x scale

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.