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Finding the Fourth Proportional to 149,281.92, 206,004.92 and 81,297.44

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Solution

The fourth proportional to 149,281.92, 206,004.92 and 81,297.44 is: 112,188.22

Step by Step Solution

  1. Step 1: Write the proportion equation
    149,281.92 : 206,004.92 = 81,297.44 : x
  2. Step 2: Convert to fraction form
    149,281.92/206,004.92 = 81,297.44/x
  3. Step 3: Cross multiply
    149,281.92x = 206,004.92 × 81,297.44
  4. Step 4: Simplify right side
    149,281.92x = 16,747,672,623.40
  5. Step 5: Solve for x
    x = 16,747,672,623.40/149,281.92
  6. Step 6: Final answer
    x = 112,188.22

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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.