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Finding the Fourth Proportional to 99,750, 149,625 and 50,502

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Solution

The fourth proportional to 99,750, 149,625 and 50,502 is: 75,753

Step by Step Solution

  1. Step 1: Write the proportion equation
    99,750 : 149,625 = 50,502 : x
  2. Step 2: Convert to fraction form
    99,750/149,625 = 50,502/x
  3. Step 3: Cross multiply
    99,750x = 149,625 × 50,502
  4. Step 4: Simplify right side
    99,750x = 7,556,361,750
  5. Step 5: Solve for x
    x = 7,556,361,750/99,750
  6. Step 6: Final answer
    x = 75,753

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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.