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Finding the Fourth Proportional to 207,676.17, 311,509.77 and 57,912.47

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Solution

The fourth proportional to 207,676.17, 311,509.77 and 57,912.47 is: 86,867.45

Step by Step Solution

  1. Step 1: Write the proportion equation
    207,676.17 : 311,509.77 = 57,912.47 : x
  2. Step 2: Convert to fraction form
    207,676.17/311,509.77 = 57,912.47/x
  3. Step 3: Cross multiply
    207,676.17x = 311,509.77 × 57,912.47
  4. Step 4: Simplify right side
    207,676.17x = 18,040,300,209.83
  5. Step 5: Solve for x
    x = 18,040,300,209.83/207,676.17
  6. Step 6: Final answer
    x = 86,867.45

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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.