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Finding the Fourth Proportional to 207,661.15, 311,449.20 and 57,863.80

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Solution

The fourth proportional to 207,661.15, 311,449.20 and 57,863.80 is: 86,783.85

Step by Step Solution

  1. Step 1: Write the proportion equation
    207,661.15 : 311,449.20 = 57,863.80 : x
  2. Step 2: Convert to fraction form
    207,661.15/311,449.20 = 57,863.80/x
  3. Step 3: Cross multiply
    207,661.15x = 311,449.20 × 57,863.80
  4. Step 4: Simplify right side
    207,661.15x = 18,021,634,218.96
  5. Step 5: Solve for x
    x = 18,021,634,218.96/207,661.15
  6. Step 6: Final answer
    x = 86,783.85

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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.