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Finding the Fourth Proportional to 213,443.20, 319,743.60 and 108,337.60

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Solution

The fourth proportional to 213,443.20, 319,743.60 and 108,337.60 is: 162,292.61

Step by Step Solution

  1. Step 1: Write the proportion equation
    213,443.20 : 319,743.60 = 108,337.60 : x
  2. Step 2: Convert to fraction form
    213,443.20/319,743.60 = 108,337.60/x
  3. Step 3: Cross multiply
    213,443.20x = 319,743.60 × 108,337.60
  4. Step 4: Simplify right side
    213,443.20x = 34,640,254,239.36
  5. Step 5: Solve for x
    x = 34,640,254,239.36/213,443.20
  6. Step 6: Final answer
    x = 162,292.61

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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.