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Finding the Fourth Proportional to 66,496, 99,744 and 33,664

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Solution

The fourth proportional to 66,496, 99,744 and 33,664 is: 50,496

Step by Step Solution

  1. Step 1: Write the proportion equation
    66,496 : 99,744 = 33,664 : x
  2. Step 2: Convert to fraction form
    66,496/99,744 = 33,664/x
  3. Step 3: Cross multiply
    66,496x = 99,744 × 33,664
  4. Step 4: Simplify right side
    66,496x = 3,357,782,016
  5. Step 5: Solve for x
    x = 3,357,782,016/66,496
  6. Step 6: Final answer
    x = 50,496

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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.