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Finding the Fourth Proportional to 223,916.22, 309,003.03 and 123,313.50

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Solution

The fourth proportional to 223,916.22, 309,003.03 and 123,313.50 is: 170,171.88

Step by Step Solution

  1. Step 1: Write the proportion equation
    223,916.22 : 309,003.03 = 123,313.50 : x
  2. Step 2: Convert to fraction form
    223,916.22/309,003.03 = 123,313.50/x
  3. Step 3: Cross multiply
    223,916.22x = 309,003.03 × 123,313.50
  4. Step 4: Simplify right side
    223,916.22x = 38,104,245,139.91
  5. Step 5: Solve for x
    x = 38,104,245,139.91/223,916.22
  6. Step 6: Final answer
    x = 170,171.88

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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.