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Finding the Fourth Proportional to 149,571.50, 206,423.26 and 82,503.50

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Solution

The fourth proportional to 149,571.50, 206,423.26 and 82,503.50 is: 113,862.88

Step by Step Solution

  1. Step 1: Write the proportion equation
    149,571.50 : 206,423.26 = 82,503.50 : x
  2. Step 2: Convert to fraction form
    149,571.50/206,423.26 = 82,503.50/x
  3. Step 3: Cross multiply
    149,571.50x = 206,423.26 × 82,503.50
  4. Step 4: Simplify right side
    149,571.50x = 17,030,641,431.41
  5. Step 5: Solve for x
    x = 17,030,641,431.41/149,571.50
  6. Step 6: Final answer
    x = 113,862.88

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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.