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Finding the Fourth Proportional to 65,819.36, 90,830.34 and 35,604.64

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Solution

The fourth proportional to 65,819.36, 90,830.34 and 35,604.64 is: 49,134.20

Step by Step Solution

  1. Step 1: Write the proportion equation
    65,819.36 : 90,830.34 = 35,604.64 : x
  2. Step 2: Convert to fraction form
    65,819.36/90,830.34 = 35,604.64/x
  3. Step 3: Cross multiply
    65,819.36x = 90,830.34 × 35,604.64
  4. Step 4: Simplify right side
    65,819.36x = 3,233,981,556.78
  5. Step 5: Solve for x
    x = 3,233,981,556.78/65,819.36
  6. Step 6: Final answer
    x = 49,134.20

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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.