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Finding the Fourth Proportional to 149,812.84, 206,734.50 and 82,743.40

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Solution

The fourth proportional to 149,812.84, 206,734.50 and 82,743.40 is: 114,181.90

Step by Step Solution

  1. Step 1: Write the proportion equation
    149,812.84 : 206,734.50 = 82,743.40 : x
  2. Step 2: Convert to fraction form
    149,812.84/206,734.50 = 82,743.40/x
  3. Step 3: Cross multiply
    149,812.84x = 206,734.50 × 82,743.40
  4. Step 4: Simplify right side
    149,812.84x = 17,105,915,427.30
  5. Step 5: Solve for x
    x = 17,105,915,427.30/149,812.84
  6. Step 6: Final answer
    x = 114,181.90

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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.