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Finding the Fourth Proportional to 201,720.80, 303,237.30 and 142,963.40

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Solution

The fourth proportional to 201,720.80, 303,237.30 and 142,963.40 is: 214,910.09

Step by Step Solution

  1. Step 1: Write the proportion equation
    201,720.80 : 303,237.30 = 142,963.40 : x
  2. Step 2: Convert to fraction form
    201,720.80/303,237.30 = 142,963.40/x
  3. Step 3: Cross multiply
    201,720.80x = 303,237.30 × 142,963.40
  4. Step 4: Simplify right side
    201,720.80x = 43,351,835,414.82
  5. Step 5: Solve for x
    x = 43,351,835,414.82/201,720.80
  6. Step 6: Final answer
    x = 214,910.09

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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.