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Finding the Fourth Proportional to 122,115.20, 183,205.20 and 43,221.20

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Solution

The fourth proportional to 122,115.20, 183,205.20 and 43,221.20 is: 64,843.27

Step by Step Solution

  1. Step 1: Write the proportion equation
    122,115.20 : 183,205.20 = 43,221.20 : x
  2. Step 2: Convert to fraction form
    122,115.20/183,205.20 = 43,221.20/x
  3. Step 3: Cross multiply
    122,115.20x = 183,205.20 × 43,221.20
  4. Step 4: Simplify right side
    122,115.20x = 7,918,348,590.24
  5. Step 5: Solve for x
    x = 7,918,348,590.24/122,115.20
  6. Step 6: Final answer
    x = 64,843.27

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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.