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Finding the Fourth Proportional to 188,115.76, 282,007.52 and 143,939.75

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Solution

The fourth proportional to 188,115.76, 282,007.52 and 143,939.75 is: 215,782.51

Step by Step Solution

  1. Step 1: Write the proportion equation
    188,115.76 : 282,007.52 = 143,939.75 : x
  2. Step 2: Convert to fraction form
    188,115.76/282,007.52 = 143,939.75/x
  3. Step 3: Cross multiply
    188,115.76x = 282,007.52 × 143,939.75
  4. Step 4: Simplify right side
    188,115.76x = 40,592,089,797.18
  5. Step 5: Solve for x
    x = 40,592,089,797.18/188,115.76
  6. Step 6: Final answer
    x = 215,782.51

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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.