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Finding the Fourth Proportional to 100,453.34, 150,707.82 and 81,687

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Solution

The fourth proportional to 100,453.34, 150,707.82 and 81,687 is: 122,553.11

Step by Step Solution

  1. Step 1: Write the proportion equation
    100,453.34 : 150,707.82 = 81,687 : x
  2. Step 2: Convert to fraction form
    100,453.34/150,707.82 = 81,687/x
  3. Step 3: Cross multiply
    100,453.34x = 150,707.82 × 81,687
  4. Step 4: Simplify right side
    100,453.34x = 12,310,869,692.34
  5. Step 5: Solve for x
    x = 12,310,869,692.34/100,453.34
  6. Step 6: Final answer
    x = 122,553.11

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.