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Finding the Fourth Proportional to 188,021.86, 282,059.20 and 54,911.86

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Solution

The fourth proportional to 188,021.86, 282,059.20 and 54,911.86 is: 82,375.50

Step by Step Solution

  1. Step 1: Write the proportion equation
    188,021.86 : 282,059.20 = 54,911.86 : x
  2. Step 2: Convert to fraction form
    188,021.86/282,059.20 = 54,911.86/x
  3. Step 3: Cross multiply
    188,021.86x = 282,059.20 × 54,911.86
  4. Step 4: Simplify right side
    188,021.86x = 15,488,395,302.11
  5. Step 5: Solve for x
    x = 15,488,395,302.11/188,021.86
  6. Step 6: Final answer
    x = 82,375.50

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1.5x scale

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.