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Finding the Fourth Proportional to 201,722.30, 303,239.55 and 142,964.90

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Solution

The fourth proportional to 201,722.30, 303,239.55 and 142,964.90 is: 214,912.34

Step by Step Solution

  1. Step 1: Write the proportion equation
    201,722.30 : 303,239.55 = 142,964.90 : x
  2. Step 2: Convert to fraction form
    201,722.30/303,239.55 = 142,964.90/x
  3. Step 3: Cross multiply
    201,722.30x = 303,239.55 × 142,964.90
  4. Step 4: Simplify right side
    201,722.30x = 43,352,611,941.80
  5. Step 5: Solve for x
    x = 43,352,611,941.80/201,722.30
  6. Step 6: Final answer
    x = 214,912.34

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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.