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Finding the Fourth Proportional to 149,154, 205,835.76 and 82,086

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Solution

The fourth proportional to 149,154, 205,835.76 and 82,086 is: 113,280.46

Step by Step Solution

  1. Step 1: Write the proportion equation
    149,154 : 205,835.76 = 82,086 : x
  2. Step 2: Convert to fraction form
    149,154/205,835.76 = 82,086/x
  3. Step 3: Cross multiply
    149,154x = 205,835.76 × 82,086
  4. Step 4: Simplify right side
    149,154x = 16,896,234,195.36
  5. Step 5: Solve for x
    x = 16,896,234,195.36/149,154
  6. Step 6: Final answer
    x = 113,280.46

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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.