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Finding the Fourth Proportional to 188,288.68, 282,471.92 and 55,173.28

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Solution

The fourth proportional to 188,288.68, 282,471.92 and 55,173.28 is: 82,771.32

Step by Step Solution

  1. Step 1: Write the proportion equation
    188,288.68 : 282,471.92 = 55,173.28 : x
  2. Step 2: Convert to fraction form
    188,288.68/282,471.92 = 55,173.28/x
  3. Step 3: Cross multiply
    188,288.68x = 282,471.92 × 55,173.28
  4. Step 4: Simplify right side
    188,288.68x = 15,584,902,334.30
  5. Step 5: Solve for x
    x = 15,584,902,334.30/188,288.68
  6. Step 6: Final answer
    x = 82,771.32

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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.