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Finding the Fourth Proportional to 149,178.56, 205,866.42 and 81,195.80

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Solution

The fourth proportional to 149,178.56, 205,866.42 and 81,195.80 is: 112,050.21

Step by Step Solution

  1. Step 1: Write the proportion equation
    149,178.56 : 205,866.42 = 81,195.80 : x
  2. Step 2: Convert to fraction form
    149,178.56/205,866.42 = 81,195.80/x
  3. Step 3: Cross multiply
    149,178.56x = 205,866.42 × 81,195.80
  4. Step 4: Simplify right side
    149,178.56x = 16,715,488,665.04
  5. Step 5: Solve for x
    x = 16,715,488,665.04/149,178.56
  6. Step 6: Final answer
    x = 112,050.21

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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.