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Finding the Fourth Proportional to 149,623.50, 206,480.43 and 82,555.50

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Solution

The fourth proportional to 149,623.50, 206,480.43 and 82,555.50 is: 113,926.59

Step by Step Solution

  1. Step 1: Write the proportion equation
    149,623.50 : 206,480.43 = 82,555.50 : x
  2. Step 2: Convert to fraction form
    149,623.50/206,480.43 = 82,555.50/x
  3. Step 3: Cross multiply
    149,623.50x = 206,480.43 × 82,555.50
  4. Step 4: Simplify right side
    149,623.50x = 17,046,095,138.87
  5. Step 5: Solve for x
    x = 17,046,095,138.87/149,623.50
  6. Step 6: Final answer
    x = 113,926.59

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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.