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Finding the Fourth Proportional to 201,712.30, 303,224.55 and 142,954.90

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Solution

The fourth proportional to 201,712.30, 303,224.55 and 142,954.90 is: 214,897.33

Step by Step Solution

  1. Step 1: Write the proportion equation
    201,712.30 : 303,224.55 = 142,954.90 : x
  2. Step 2: Convert to fraction form
    201,712.30/303,224.55 = 142,954.90/x
  3. Step 3: Cross multiply
    201,712.30x = 303,224.55 × 142,954.90
  4. Step 4: Simplify right side
    201,712.30x = 43,347,435,222.80
  5. Step 5: Solve for x
    x = 43,347,435,222.80/201,712.30
  6. Step 6: Final answer
    x = 214,897.33

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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.