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Finding the Fourth Proportional to 227,376, 313,779.84 and 126,781.44

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Solution

The fourth proportional to 227,376, 313,779.84 and 126,781.44 is: 174,958.92

Step by Step Solution

  1. Step 1: Write the proportion equation
    227,376 : 313,779.84 = 126,781.44 : x
  2. Step 2: Convert to fraction form
    227,376/313,779.84 = 126,781.44/x
  3. Step 3: Cross multiply
    227,376x = 313,779.84 × 126,781.44
  4. Step 4: Simplify right side
    227,376x = 39,781,459,958.17
  5. Step 5: Solve for x
    x = 39,781,459,958.17/227,376
  6. Step 6: Final answer
    x = 174,958.92

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.