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Finding the Fourth Proportional to 219,642, 303,004.44 and 128,968.80

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Solution

The fourth proportional to 219,642, 303,004.44 and 128,968.80 is: 177,917.33

Step by Step Solution

  1. Step 1: Write the proportion equation
    219,642 : 303,004.44 = 128,968.80 : x
  2. Step 2: Convert to fraction form
    219,642/303,004.44 = 128,968.80/x
  3. Step 3: Cross multiply
    219,642x = 303,004.44 × 128,968.80
  4. Step 4: Simplify right side
    219,642x = 39,078,119,021.47
  5. Step 5: Solve for x
    x = 39,078,119,021.47/219,642
  6. Step 6: Final answer
    x = 177,917.33

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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.