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Finding the Fourth Proportional to 149,812.92, 206,742.90 and 82,744.92

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Solution

The fourth proportional to 149,812.92, 206,742.90 and 82,744.92 is: 114,188.58

Step by Step Solution

  1. Step 1: Write the proportion equation
    149,812.92 : 206,742.90 = 82,744.92 : x
  2. Step 2: Convert to fraction form
    149,812.92/206,742.90 = 82,744.92/x
  3. Step 3: Cross multiply
    149,812.92x = 206,742.90 × 82,744.92
  4. Step 4: Simplify right side
    149,812.92x = 17,106,924,721.07
  5. Step 5: Solve for x
    x = 17,106,924,721.07/149,812.92
  6. Step 6: Final answer
    x = 114,188.58

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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.