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Finding the Fourth Proportional to 207,454.50, 311,182.05 and 57,694.80

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Solution

The fourth proportional to 207,454.50, 311,182.05 and 57,694.80 is: 86,542.28

Step by Step Solution

  1. Step 1: Write the proportion equation
    207,454.50 : 311,182.05 = 57,694.80 : x
  2. Step 2: Convert to fraction form
    207,454.50/311,182.05 = 57,694.80/x
  3. Step 3: Cross multiply
    207,454.50x = 311,182.05 × 57,694.80
  4. Step 4: Simplify right side
    207,454.50x = 17,953,586,138.34
  5. Step 5: Solve for x
    x = 17,953,586,138.34/207,454.50
  6. Step 6: Final answer
    x = 86,542.28

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.