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Finding the Fourth Proportional to 149,819.84, 206,744.16 and 82,750.40

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Solution

The fourth proportional to 149,819.84, 206,744.16 and 82,750.40 is: 114,191.56

Step by Step Solution

  1. Step 1: Write the proportion equation
    149,819.84 : 206,744.16 = 82,750.40 : x
  2. Step 2: Convert to fraction form
    149,819.84/206,744.16 = 82,750.40/x
  3. Step 3: Cross multiply
    149,819.84x = 206,744.16 × 82,750.40
  4. Step 4: Simplify right side
    149,819.84x = 17,108,161,937.66
  5. Step 5: Solve for x
    x = 17,108,161,937.66/149,819.84
  6. Step 6: Final answer
    x = 114,191.56

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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.