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Finding the Fourth Proportional to 207,953.66, 311,930.42 and 81,653.33

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Solution

The fourth proportional to 207,953.66, 311,930.42 and 81,653.33 is: 122,479.97

Step by Step Solution

  1. Step 1: Write the proportion equation
    207,953.66 : 311,930.42 = 81,653.33 : x
  2. Step 2: Convert to fraction form
    207,953.66/311,930.42 = 81,653.33/x
  3. Step 3: Cross multiply
    207,953.66x = 311,930.42 × 81,653.33
  4. Step 4: Simplify right side
    207,953.66x = 25,470,157,892.86
  5. Step 5: Solve for x
    x = 25,470,157,892.86/207,953.66
  6. Step 6: Final answer
    x = 122,479.97

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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.