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Finding the Fourth Proportional to 253,196.80, 379,816.88 and 66,208

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Solution

The fourth proportional to 253,196.80, 379,816.88 and 66,208 is: 99,317.67

Step by Step Solution

  1. Step 1: Write the proportion equation
    253,196.80 : 379,816.88 = 66,208 : x
  2. Step 2: Convert to fraction form
    253,196.80/379,816.88 = 66,208/x
  3. Step 3: Cross multiply
    253,196.80x = 379,816.88 × 66,208
  4. Step 4: Simplify right side
    253,196.80x = 25,146,915,991.04
  5. Step 5: Solve for x
    x = 25,146,915,991.04/253,196.80
  6. Step 6: Final answer
    x = 99,317.67

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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.