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Finding the Fourth Proportional to 200,960.73, 300,978.99 and 112,017.26

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Solution

The fourth proportional to 200,960.73, 300,978.99 and 112,017.26 is: 167,768.31

Step by Step Solution

  1. Step 1: Write the proportion equation
    200,960.73 : 300,978.99 = 112,017.26 : x
  2. Step 2: Convert to fraction form
    200,960.73/300,978.99 = 112,017.26/x
  3. Step 3: Cross multiply
    200,960.73x = 300,978.99 × 112,017.26
  4. Step 4: Simplify right side
    200,960.73x = 33,714,842,529.81
  5. Step 5: Solve for x
    x = 33,714,842,529.81/200,960.73
  6. Step 6: Final answer
    x = 167,768.31

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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.