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Finding the Fourth Proportional to 201,718.30, 303,233.55 and 142,960.90

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Solution

The fourth proportional to 201,718.30, 303,233.55 and 142,960.90 is: 214,906.34

Step by Step Solution

  1. Step 1: Write the proportion equation
    201,718.30 : 303,233.55 = 142,960.90 : x
  2. Step 2: Convert to fraction form
    201,718.30/303,233.55 = 142,960.90/x
  3. Step 3: Cross multiply
    201,718.30x = 303,233.55 × 142,960.90
  4. Step 4: Simplify right side
    201,718.30x = 43,350,541,218.20
  5. Step 5: Solve for x
    x = 43,350,541,218.20/201,718.30
  6. Step 6: Final answer
    x = 214,906.34

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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.