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Finding the Fourth Proportional to 149,891.50, 206,865.40 and 82,823.50

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Solution

The fourth proportional to 149,891.50, 206,865.40 and 82,823.50 is: 114,304.79

Step by Step Solution

  1. Step 1: Write the proportion equation
    149,891.50 : 206,865.40 = 82,823.50 : x
  2. Step 2: Convert to fraction form
    149,891.50/206,865.40 = 82,823.50/x
  3. Step 3: Cross multiply
    149,891.50x = 206,865.40 × 82,823.50
  4. Step 4: Simplify right side
    149,891.50x = 17,133,316,456.90
  5. Step 5: Solve for x
    x = 17,133,316,456.90/149,891.50
  6. Step 6: Final answer
    x = 114,304.79

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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.