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Finding the Fourth Proportional to 145,198.26, 217,764.54 and 55,208.87

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Solution

The fourth proportional to 145,198.26, 217,764.54 and 55,208.87 is: 82,800.81

Step by Step Solution

  1. Step 1: Write the proportion equation
    145,198.26 : 217,764.54 = 55,208.87 : x
  2. Step 2: Convert to fraction form
    145,198.26/217,764.54 = 55,208.87/x
  3. Step 3: Cross multiply
    145,198.26x = 217,764.54 × 55,208.87
  4. Step 4: Simplify right side
    145,198.26x = 12,022,533,090.65
  5. Step 5: Solve for x
    x = 12,022,533,090.65/145,198.26
  6. Step 6: Final answer
    x = 82,800.81

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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.