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Finding the Fourth Proportional to 221,801.96, 332,633.16 and 72,007.64

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Solution

The fourth proportional to 221,801.96, 332,633.16 and 72,007.64 is: 107,988.81

Step by Step Solution

  1. Step 1: Write the proportion equation
    221,801.96 : 332,633.16 = 72,007.64 : x
  2. Step 2: Convert to fraction form
    221,801.96/332,633.16 = 72,007.64/x
  3. Step 3: Cross multiply
    221,801.96x = 332,633.16 × 72,007.64
  4. Step 4: Simplify right side
    221,801.96x = 23,952,128,837.34
  5. Step 5: Solve for x
    x = 23,952,128,837.34/221,801.96
  6. Step 6: Final answer
    x = 107,988.81

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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.