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Finding the Fourth Proportional to 196,850.28, 295,256.70 and 78,489.96

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Solution

The fourth proportional to 196,850.28, 295,256.70 and 78,489.96 is: 117,727.48

Step by Step Solution

  1. Step 1: Write the proportion equation
    196,850.28 : 295,256.70 = 78,489.96 : x
  2. Step 2: Convert to fraction form
    196,850.28/295,256.70 = 78,489.96/x
  3. Step 3: Cross multiply
    196,850.28x = 295,256.70 × 78,489.96
  4. Step 4: Simplify right side
    196,850.28x = 23,174,686,572.73
  5. Step 5: Solve for x
    x = 23,174,686,572.73/196,850.28
  6. Step 6: Final answer
    x = 117,727.48

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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.