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Finding the Fourth Proportional to 207,709.58, 311,616.90 and 57,949.80

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Solution

The fourth proportional to 207,709.58, 311,616.90 and 57,949.80 is: 86,939.36

Step by Step Solution

  1. Step 1: Write the proportion equation
    207,709.58 : 311,616.90 = 57,949.80 : x
  2. Step 2: Convert to fraction form
    207,709.58/311,616.90 = 57,949.80/x
  3. Step 3: Cross multiply
    207,709.58x = 311,616.90 × 57,949.80
  4. Step 4: Simplify right side
    207,709.58x = 18,058,138,329.34
  5. Step 5: Solve for x
    x = 18,058,138,329.34/207,709.58
  6. Step 6: Final answer
    x = 86,939.36

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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.