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Finding the Fourth Proportional to 188,291.72, 282,439.87 and 55,174.68

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Solution

The fourth proportional to 188,291.72, 282,439.87 and 55,174.68 is: 82,762.69

Step by Step Solution

  1. Step 1: Write the proportion equation
    188,291.72 : 282,439.87 = 55,174.68 : x
  2. Step 2: Convert to fraction form
    188,291.72/282,439.87 = 55,174.68/x
  3. Step 3: Cross multiply
    188,291.72x = 282,439.87 × 55,174.68
  4. Step 4: Simplify right side
    188,291.72x = 15,583,529,308.55
  5. Step 5: Solve for x
    x = 15,583,529,308.55/188,291.72
  6. Step 6: Final answer
    x = 82,762.69

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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.