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Finding the Fourth Proportional to 149,179.56, 205,867.80 and 81,196.80

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Solution

The fourth proportional to 149,179.56, 205,867.80 and 81,196.80 is: 112,051.59

Step by Step Solution

  1. Step 1: Write the proportion equation
    149,179.56 : 205,867.80 = 81,196.80 : x
  2. Step 2: Convert to fraction form
    149,179.56/205,867.80 = 81,196.80/x
  3. Step 3: Cross multiply
    149,179.56x = 205,867.80 × 81,196.80
  4. Step 4: Simplify right side
    149,179.56x = 16,715,806,583.04
  5. Step 5: Solve for x
    x = 16,715,806,583.04/149,179.56
  6. Step 6: Final answer
    x = 112,051.59

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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.