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Finding the Fourth Proportional to 201,672.72, 302,509.17 and 83,213.87

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Solution

The fourth proportional to 201,672.72, 302,509.17 and 83,213.87 is: 124,820.83

Step by Step Solution

  1. Step 1: Write the proportion equation
    201,672.72 : 302,509.17 = 83,213.87 : x
  2. Step 2: Convert to fraction form
    201,672.72/302,509.17 = 83,213.87/x
  3. Step 3: Cross multiply
    201,672.72x = 302,509.17 × 83,213.87
  4. Step 4: Simplify right side
    201,672.72x = 25,172,957,233.64
  5. Step 5: Solve for x
    x = 25,172,957,233.64/201,672.72
  6. Step 6: Final answer
    x = 124,820.83

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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.