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Finding the Fourth Proportional to 205,902.96, 308,851.20 and 65,660.64

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Solution

The fourth proportional to 205,902.96, 308,851.20 and 65,660.64 is: 98,489.93

Step by Step Solution

  1. Step 1: Write the proportion equation
    205,902.96 : 308,851.20 = 65,660.64 : x
  2. Step 2: Convert to fraction form
    205,902.96/308,851.20 = 65,660.64/x
  3. Step 3: Cross multiply
    205,902.96x = 308,851.20 × 65,660.64
  4. Step 4: Simplify right side
    205,902.96x = 20,279,367,456.77
  5. Step 5: Solve for x
    x = 20,279,367,456.77/205,902.96
  6. Step 6: Final answer
    x = 98,489.93

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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.