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Finding the Fourth Proportional to 201,467.82, 302,004.90 and 83,221.86

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Solution

The fourth proportional to 201,467.82, 302,004.90 and 83,221.86 is: 124,751.48

Step by Step Solution

  1. Step 1: Write the proportion equation
    201,467.82 : 302,004.90 = 83,221.86 : x
  2. Step 2: Convert to fraction form
    201,467.82/302,004.90 = 83,221.86/x
  3. Step 3: Cross multiply
    201,467.82x = 302,004.90 × 83,221.86
  4. Step 4: Simplify right side
    201,467.82x = 25,133,409,507.11
  5. Step 5: Solve for x
    x = 25,133,409,507.11/201,467.82
  6. Step 6: Final answer
    x = 124,751.48

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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.