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Finding the Fourth Proportional to 55,203.57, 82,731.92 and 30,205.89

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Solution

The fourth proportional to 55,203.57, 82,731.92 and 30,205.89 is: 45,268.65

Step by Step Solution

  1. Step 1: Write the proportion equation
    55,203.57 : 82,731.92 = 30,205.89 : x
  2. Step 2: Convert to fraction form
    55,203.57/82,731.92 = 30,205.89/x
  3. Step 3: Cross multiply
    55,203.57x = 82,731.92 × 30,205.89
  4. Step 4: Simplify right side
    55,203.57x = 2,498,991,123.98
  5. Step 5: Solve for x
    x = 2,498,991,123.98/55,203.57
  6. Step 6: Final answer
    x = 45,268.65

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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.