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Finding the Fourth Proportional to 223,954.57, 309,057.30 and 123,352.57

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Solution

The fourth proportional to 223,954.57, 309,057.30 and 123,352.57 is: 170,226.54

Step by Step Solution

  1. Step 1: Write the proportion equation
    223,954.57 : 309,057.30 = 123,352.57 : x
  2. Step 2: Convert to fraction form
    223,954.57/309,057.30 = 123,352.57/x
  3. Step 3: Cross multiply
    223,954.57x = 309,057.30 × 123,352.57
  4. Step 4: Simplify right side
    223,954.57x = 38,123,011,615.50
  5. Step 5: Solve for x
    x = 38,123,011,615.50/223,954.57
  6. Step 6: Final answer
    x = 170,226.54

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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.