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Finding the Fourth Proportional to 196,808.70, 295,358.85 and 78,564.90

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Solution

The fourth proportional to 196,808.70, 295,358.85 and 78,564.90 is: 117,905.55

Step by Step Solution

  1. Step 1: Write the proportion equation
    196,808.70 : 295,358.85 = 78,564.90 : x
  2. Step 2: Convert to fraction form
    196,808.70/295,358.85 = 78,564.90/x
  3. Step 3: Cross multiply
    196,808.70x = 295,358.85 × 78,564.90
  4. Step 4: Simplify right side
    196,808.70x = 23,204,838,514.37
  5. Step 5: Solve for x
    x = 23,204,838,514.37/196,808.70
  6. Step 6: Final answer
    x = 117,905.55

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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.