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Finding the Fourth Proportional to 149,796.81, 206,719.26 and 81,813.78

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Solution

The fourth proportional to 149,796.81, 206,719.26 and 81,813.78 is: 112,902.84

Step by Step Solution

  1. Step 1: Write the proportion equation
    149,796.81 : 206,719.26 = 81,813.78 : x
  2. Step 2: Convert to fraction form
    149,796.81/206,719.26 = 81,813.78/x
  3. Step 3: Cross multiply
    149,796.81x = 206,719.26 × 81,813.78
  4. Step 4: Simplify right side
    149,796.81x = 16,912,484,059.40
  5. Step 5: Solve for x
    x = 16,912,484,059.40/149,796.81
  6. Step 6: Final answer
    x = 112,902.84

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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.