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Finding the Fourth Proportional to 149,456.50, 206,245.84 and 81,474.80

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Solution

The fourth proportional to 149,456.50, 206,245.84 and 81,474.80 is: 112,432.97

Step by Step Solution

  1. Step 1: Write the proportion equation
    149,456.50 : 206,245.84 = 81,474.80 : x
  2. Step 2: Convert to fraction form
    149,456.50/206,245.84 = 81,474.80/x
  3. Step 3: Cross multiply
    149,456.50x = 206,245.84 × 81,474.80
  4. Step 4: Simplify right side
    149,456.50x = 16,803,838,564.83
  5. Step 5: Solve for x
    x = 16,803,838,564.83/149,456.50
  6. Step 6: Final answer
    x = 112,432.97

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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.