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Finding the Fourth Proportional to 221,513.51, 332,317.65 and 71,768.81

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Solution

The fourth proportional to 221,513.51, 332,317.65 and 71,768.81 is: 107,668.57

Step by Step Solution

  1. Step 1: Write the proportion equation
    221,513.51 : 332,317.65 = 71,768.81 : x
  2. Step 2: Convert to fraction form
    221,513.51/332,317.65 = 71,768.81/x
  3. Step 3: Cross multiply
    221,513.51x = 332,317.65 × 71,768.81
  4. Step 4: Simplify right side
    221,513.51x = 23,850,042,282.50
  5. Step 5: Solve for x
    x = 23,850,042,282.50/221,513.51
  6. Step 6: Final answer
    x = 107,668.57

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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.