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Finding the Fourth Proportional to 204,314.88, 306,396.48 and 71,160.96

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Solution

The fourth proportional to 204,314.88, 306,396.48 and 71,160.96 is: 106,715.03

Step by Step Solution

  1. Step 1: Write the proportion equation
    204,314.88 : 306,396.48 = 71,160.96 : x
  2. Step 2: Convert to fraction form
    204,314.88/306,396.48 = 71,160.96/x
  3. Step 3: Cross multiply
    204,314.88x = 306,396.48 × 71,160.96
  4. Step 4: Simplify right side
    204,314.88x = 21,803,467,657.42
  5. Step 5: Solve for x
    x = 21,803,467,657.42/204,314.88
  6. Step 6: Final answer
    x = 106,715.03

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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.