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Finding the Fourth Proportional to 201,380.64, 302,202.36 and 75,121.89

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Solution

The fourth proportional to 201,380.64, 302,202.36 and 75,121.89 is: 112,731.85

Step by Step Solution

  1. Step 1: Write the proportion equation
    201,380.64 : 302,202.36 = 75,121.89 : x
  2. Step 2: Convert to fraction form
    201,380.64/302,202.36 = 75,121.89/x
  3. Step 3: Cross multiply
    201,380.64x = 302,202.36 × 75,121.89
  4. Step 4: Simplify right side
    201,380.64x = 22,702,012,445.66
  5. Step 5: Solve for x
    x = 22,702,012,445.66/201,380.64
  6. Step 6: Final answer
    x = 112,731.85

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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.