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Finding the Fourth Proportional to 149,081, 205,735.52 and 81,101.80

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Solution

The fourth proportional to 149,081, 205,735.52 and 81,101.80 is: 111,922.52

Step by Step Solution

  1. Step 1: Write the proportion equation
    149,081 : 205,735.52 = 81,101.80 : x
  2. Step 2: Convert to fraction form
    149,081/205,735.52 = 81,101.80/x
  3. Step 3: Cross multiply
    149,081x = 205,735.52 × 81,101.80
  4. Step 4: Simplify right side
    149,081x = 16,685,520,995.94
  5. Step 5: Solve for x
    x = 16,685,520,995.94/149,081
  6. Step 6: Final answer
    x = 111,922.52

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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.