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Finding the Fourth Proportional to 99,746, 149,619 and 50,498

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Solution

The fourth proportional to 99,746, 149,619 and 50,498 is: 75,747

Step by Step Solution

  1. Step 1: Write the proportion equation
    99,746 : 149,619 = 50,498 : x
  2. Step 2: Convert to fraction form
    99,746/149,619 = 50,498/x
  3. Step 3: Cross multiply
    99,746x = 149,619 × 50,498
  4. Step 4: Simplify right side
    99,746x = 7,555,460,262
  5. Step 5: Solve for x
    x = 7,555,460,262/99,746
  6. Step 6: Final answer
    x = 75,747

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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.