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Finding the Fourth Proportional to 207,930.35, 311,906.85 and 65,765.00

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Solution

The fourth proportional to 207,930.35, 311,906.85 and 65,765.00 is: 98,651.08

Step by Step Solution

  1. Step 1: Write the proportion equation
    207,930.35 : 311,906.85 = 65,765.00 : x
  2. Step 2: Convert to fraction form
    207,930.35/311,906.85 = 65,765.00/x
  3. Step 3: Cross multiply
    207,930.35x = 311,906.85 × 65,765.00
  4. Step 4: Simplify right side
    207,930.35x = 20,512,552,430.72
  5. Step 5: Solve for x
    x = 20,512,552,430.72/207,930.35
  6. Step 6: Final answer
    x = 98,651.08

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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.