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Finding the Fourth Proportional to 208,989.62, 313,496.28 and 66,847.38

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Solution

The fourth proportional to 208,989.62, 313,496.28 and 66,847.38 is: 100,274.86

Step by Step Solution

  1. Step 1: Write the proportion equation
    208,989.62 : 313,496.28 = 66,847.38 : x
  2. Step 2: Convert to fraction form
    208,989.62/313,496.28 = 66,847.38/x
  3. Step 3: Cross multiply
    208,989.62x = 313,496.28 × 66,847.38
  4. Step 4: Simplify right side
    208,989.62x = 20,956,404,957.75
  5. Step 5: Solve for x
    x = 20,956,404,957.75/208,989.62
  6. Step 6: Final answer
    x = 100,274.86

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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.