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Finding the Fourth Proportional to 200,913.26, 301,362.57 and 81,021.92

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Solution

The fourth proportional to 200,913.26, 301,362.57 and 81,021.92 is: 121,529.92

Step by Step Solution

  1. Step 1: Write the proportion equation
    200,913.26 : 301,362.57 = 81,021.92 : x
  2. Step 2: Convert to fraction form
    200,913.26/301,362.57 = 81,021.92/x
  3. Step 3: Cross multiply
    200,913.26x = 301,362.57 × 81,021.92
  4. Step 4: Simplify right side
    200,913.26x = 24,416,972,530.72
  5. Step 5: Solve for x
    x = 24,416,972,530.72/200,913.26
  6. Step 6: Final answer
    x = 121,529.92

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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.