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Finding the Fourth Proportional to 217,576, 300,265 and 126,917.60

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Solution

The fourth proportional to 217,576, 300,265 and 126,917.60 is: 175,152.19

Step by Step Solution

  1. Step 1: Write the proportion equation
    217,576 : 300,265 = 126,917.60 : x
  2. Step 2: Convert to fraction form
    217,576/300,265 = 126,917.60/x
  3. Step 3: Cross multiply
    217,576x = 300,265 × 126,917.60
  4. Step 4: Simplify right side
    217,576x = 38,108,913,164
  5. Step 5: Solve for x
    x = 38,108,913,164/217,576
  6. Step 6: Final answer
    x = 175,152.19

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.