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Finding the Fourth Proportional to 149,177.56, 205,865.04 and 81,194.80

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Solution

The fourth proportional to 149,177.56, 205,865.04 and 81,194.80 is: 112,048.83

Step by Step Solution

  1. Step 1: Write the proportion equation
    149,177.56 : 205,865.04 = 81,194.80 : x
  2. Step 2: Convert to fraction form
    149,177.56/205,865.04 = 81,194.80/x
  3. Step 3: Cross multiply
    149,177.56x = 205,865.04 × 81,194.80
  4. Step 4: Simplify right side
    149,177.56x = 16,715,170,749.79
  5. Step 5: Solve for x
    x = 16,715,170,749.79/149,177.56
  6. Step 6: Final answer
    x = 112,048.83

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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.