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Finding the Fourth Proportional to 223,164.64, 307,968.88 and 127,665.44

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Solution

The fourth proportional to 223,164.64, 307,968.88 and 127,665.44 is: 176,179.27

Step by Step Solution

  1. Step 1: Write the proportion equation
    223,164.64 : 307,968.88 = 127,665.44 : x
  2. Step 2: Convert to fraction form
    223,164.64/307,968.88 = 127,665.44/x
  3. Step 3: Cross multiply
    223,164.64x = 307,968.88 × 127,665.44
  4. Step 4: Simplify right side
    223,164.64x = 39,316,982,571.51
  5. Step 5: Solve for x
    x = 39,316,982,571.51/223,164.64
  6. Step 6: Final answer
    x = 176,179.27

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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.