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Finding the Fourth Proportional to 149,674.86, 206,549.46 and 81,692.91

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Solution

The fourth proportional to 149,674.86, 206,549.46 and 81,692.91 is: 112,735.21

Step by Step Solution

  1. Step 1: Write the proportion equation
    149,674.86 : 206,549.46 = 81,692.91 : x
  2. Step 2: Convert to fraction form
    149,674.86/206,549.46 = 81,692.91/x
  3. Step 3: Cross multiply
    149,674.86x = 206,549.46 × 81,692.91
  4. Step 4: Simplify right side
    149,674.86x = 16,873,626,446.33
  5. Step 5: Solve for x
    x = 16,873,626,446.33/149,674.86
  6. Step 6: Final answer
    x = 112,735.21

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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.