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Finding the Fourth Proportional to 200,976.37, 301,021.68 and 112,009.21

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Solution

The fourth proportional to 200,976.37, 301,021.68 and 112,009.21 is: 167,766.99

Step by Step Solution

  1. Step 1: Write the proportion equation
    200,976.37 : 301,021.68 = 112,009.21 : x
  2. Step 2: Convert to fraction form
    200,976.37/301,021.68 = 112,009.21/x
  3. Step 3: Cross multiply
    200,976.37x = 301,021.68 × 112,009.21
  4. Step 4: Simplify right side
    200,976.37x = 33,717,200,569.67
  5. Step 5: Solve for x
    x = 33,717,200,569.67/200,976.37
  6. Step 6: Final answer
    x = 167,766.99

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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.