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Finding the Fourth Proportional to 227,799.90, 341,709.21 and 78,143.09

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Solution

The fourth proportional to 227,799.90, 341,709.21 and 78,143.09 is: 117,217.84

Step by Step Solution

  1. Step 1: Write the proportion equation
    227,799.90 : 341,709.21 = 78,143.09 : x
  2. Step 2: Convert to fraction form
    227,799.90/341,709.21 = 78,143.09/x
  3. Step 3: Cross multiply
    227,799.90x = 341,709.21 × 78,143.09
  4. Step 4: Simplify right side
    227,799.90x = 26,702,211,842.31
  5. Step 5: Solve for x
    x = 26,702,211,842.31/227,799.90
  6. Step 6: Final answer
    x = 117,217.84

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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.