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Finding the Fourth Proportional to 223,164.50, 307,969.44 and 122,562.50

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Solution

The fourth proportional to 223,164.50, 307,969.44 and 122,562.50 is: 169,137.58

Step by Step Solution

  1. Step 1: Write the proportion equation
    223,164.50 : 307,969.44 = 122,562.50 : x
  2. Step 2: Convert to fraction form
    223,164.50/307,969.44 = 122,562.50/x
  3. Step 3: Cross multiply
    223,164.50x = 307,969.44 × 122,562.50
  4. Step 4: Simplify right side
    223,164.50x = 37,745,504,490
  5. Step 5: Solve for x
    x = 37,745,504,490/223,164.50
  6. Step 6: Final answer
    x = 169,137.58

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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.