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Finding the Fourth Proportional to 221,556.51, 332,443.17 and 137,294.10

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Solution

The fourth proportional to 221,556.51, 332,443.17 and 137,294.10 is: 206,008.33

Step by Step Solution

  1. Step 1: Write the proportion equation
    221,556.51 : 332,443.17 = 137,294.10 : x
  2. Step 2: Convert to fraction form
    221,556.51/332,443.17 = 137,294.10/x
  3. Step 3: Cross multiply
    221,556.51x = 332,443.17 × 137,294.10
  4. Step 4: Simplify right side
    221,556.51x = 45,642,485,826.30
  5. Step 5: Solve for x
    x = 45,642,485,826.30/221,556.51
  6. Step 6: Final answer
    x = 206,008.33

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.