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Finding the Fourth Proportional to 221,556.69, 332,437.10 and 137,415.51

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Solution

The fourth proportional to 221,556.69, 332,437.10 and 137,415.51 is: 206,186.57

Step by Step Solution

  1. Step 1: Write the proportion equation
    221,556.69 : 332,437.10 = 137,415.51 : x
  2. Step 2: Convert to fraction form
    221,556.69/332,437.10 = 137,415.51/x
  3. Step 3: Cross multiply
    221,556.69x = 332,437.10 × 137,415.51
  4. Step 4: Simplify right side
    221,556.69x = 45,682,012,952.34
  5. Step 5: Solve for x
    x = 45,682,012,952.34/221,556.69
  6. Step 6: Final answer
    x = 206,186.57

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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.