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Finding the Fourth Proportional to 188,456.68, 282,615.90 and 55,302.76

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Solution

The fourth proportional to 188,456.68, 282,615.90 and 55,302.76 is: 82,933.86

Step by Step Solution

  1. Step 1: Write the proportion equation
    188,456.68 : 282,615.90 = 55,302.76 : x
  2. Step 2: Convert to fraction form
    188,456.68/282,615.90 = 55,302.76/x
  3. Step 3: Cross multiply
    188,456.68x = 282,615.90 × 55,302.76
  4. Step 4: Simplify right side
    188,456.68x = 15,629,439,289.88
  5. Step 5: Solve for x
    x = 15,629,439,289.88/188,456.68
  6. Step 6: Final answer
    x = 82,933.86

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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.