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Finding the Fourth Proportional to 66,474.62, 91,735.06 and 38,185.78

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Solution

The fourth proportional to 66,474.62, 91,735.06 and 38,185.78 is: 52,696.42

Step by Step Solution

  1. Step 1: Write the proportion equation
    66,474.62 : 91,735.06 = 38,185.78 : x
  2. Step 2: Convert to fraction form
    66,474.62/91,735.06 = 38,185.78/x
  3. Step 3: Cross multiply
    66,474.62x = 91,735.06 × 38,185.78
  4. Step 4: Simplify right side
    66,474.62x = 3,502,974,819.45
  5. Step 5: Solve for x
    x = 3,502,974,819.45/66,474.62
  6. Step 6: Final answer
    x = 52,696.42

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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.