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Finding the Fourth Proportional to 223,165.50, 307,970.82 and 122,563.50

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Solution

The fourth proportional to 223,165.50, 307,970.82 and 122,563.50 is: 169,138.96

Step by Step Solution

  1. Step 1: Write the proportion equation
    223,165.50 : 307,970.82 = 122,563.50 : x
  2. Step 2: Convert to fraction form
    223,165.50/307,970.82 = 122,563.50/x
  3. Step 3: Cross multiply
    223,165.50x = 307,970.82 × 122,563.50
  4. Step 4: Simplify right side
    223,165.50x = 37,745,981,597.07
  5. Step 5: Solve for x
    x = 37,745,981,597.07/223,165.50
  6. Step 6: Final answer
    x = 169,138.96

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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.